Prof Alireza Khalili Golmankhaneh

All Stories

1. 
   Cauchy problem approach to biharmonic models in fractal time and space

   Article • Chaos Solitons & Fractals, April 2026, Elsevier

   Prof Alireza Khalili Golmankhaneh

2. 
   COMPLEXITY-BASED COUPLING OF CARDIAC AND FACIAL MUSCLE RESPONSES TO OLFACTORY STIMULI

   Article • Fractals, January 2026, World Scientific Pub Co Pte Lt

   Prof Alireza Khalili Golmankhaneh

3. 
   Fractal green function theory

   Article • Communications in Nonlinear Science and Numerical Simulation, January 2026, Elsevier

   Prof Alireza Khalili Golmankhaneh

4. 
   On the generalized fractal calculus of variations

   Article • Research in the Mathematical Sciences, December 2025, Springer Science + Business Media

   Prof Alireza Khalili Golmankhaneh

5. 
   About the Fractal Navier–Stokes Equations

   Article • Iranian Journal of Science, December 2025, Springer Science + Business Media

   Prof Alireza Khalili Golmankhaneh

6. 
   Picard’s Method for Solving Fractal Differential Equations

   Article • Acta Applicandae Mathematicae, December 2025, Springer Science + Business Media

   Prof Alireza Khalili Golmankhaneh

7. 
   Fractal functions, self-similar measure and fractal dimensions on the Sierpiński gasket

   Article • Arabian Journal of Mathematics, October 2025, Springer Science + Business Media

   Prof Alireza Khalili Golmankhaneh

8. 
   Fractal Signal Processing

   Article • Circuits Systems and Signal Processing, September 2025, Springer Science + Business Media

   Prof Alireza Khalili Golmankhaneh

9. 
   Fractal Calculus of Variations: A New Framework

   Article • Analysis and Mathematical Physics, September 2025, Springer Science + Business Media

   Prof Alireza Khalili Golmankhaneh

10. 
    Fractal Frenet equations for Fractal curves: a fractal calculus approach

    Article • Boletín de la Sociedad Matemática Mexicana, September 2025, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

11. 
    Homotopy perturbation method for a system of fractal Schrödinger–Korteweg–de Vries equations

    Article • The European Physical Journal Special Topics, July 2025, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

12. 
    Formulation and Quantization of Field Equations on Fractal Space-Time

    Article • International Journal of Theoretical Physics, June 2025, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

13. 
    Fractal calculus: nonhomogeneous linear systems

    Article • Journal of Nonlinear Complex and Data Science, June 2025, De Gruyter

    Prof Alireza Khalili Golmankhaneh

14. 
    Extending Dirac and Faddeev-Jackiw Formalisms to Fractal First $$\alpha $$-Order Lagrangian Systems

    Article • Complex Analysis and Operator Theory, May 2025, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

15. 
    Fractal Sturm–Liouville problems

    Article • Integral Transforms and Special Functions, May 2025, Taylor & Francis

    Prof Alireza Khalili Golmankhaneh

16. 
    Solving fractal differential equation via numerical methods

    Article • Arabian Journal of Mathematics, May 2025, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

17. 
    Fractal Sturm–Liouville Theory

    Article • Fractal and Fractional, April 2025, MDPI AG

    Hüseyin Tuna, Prof Alireza Khalili Golmankhaneh

18. 
    ON HOMOGENEOUS SYSTEM OF FRACTAL DIFFERENTIAL EQUATIONS

    Article • Journal of Mathematical Sciences, March 2025, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

19. 
    Fractal calculus of variations for problems with constraints

    Article • Modern Physics Letters A, February 2025, World Scientific Pub Co Pte Lt

    Professor Palle Jorgensen, Prof Alireza Khalili Golmankhaneh

20. 
    Fractal Hankel Transform

    Article • Fractal and Fractional, February 2025, MDPI AG

    Prof Alireza Khalili Golmankhaneh

21. 
    Regular fractal Dirac systems

    Article • International Journal of Geometric Methods in Modern Physics, January 2025, World Scientific Pub Co Pte Lt

    Hüseyin Tuna, Prof Alireza Khalili Golmankhaneh

22. 
    Fractal Nonlinear Klein-Gordon Equation

    Article • January 2025, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

23. 
    Fractal telegraph equation

    Article • Bollettino dell Unione Matematica Italiana, December 2024, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

24. 
    Fractal Differential Equations of 2α-Order

    Article • Axioms, November 2024, MDPI AG

    Prof Alireza Khalili Golmankhaneh

25. 
    Analyzing the stability of fractal delay differential equations

    Article • Chaos Solitons & Fractals, November 2024, Elsevier

    Prof Alireza Khalili Golmankhaneh

26. 
    Higher order fractal differential equations

    Article • Modern Physics Letters A, September 2024, World Scientific Pub Co Pte Lt

    Prof Alireza Khalili Golmankhaneh

27. 
    Power series solution for fractal differential equations

    Article • Bollettino dell Unione Matematica Italiana, August 2024, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

28. 
    Exact solutions of some fractal differential equations

    Article • Applied Mathematics and Computation, July 2024, Elsevier

    Prof Alireza Khalili Golmankhaneh

29. 
    Expansion of the universe on fractal time: A study on the dynamics of cosmic growth

    Article • International Journal of Modern Physics A, May 2024, World Scientific Pub Co Pte Lt

    Prof Alireza Khalili Golmankhaneh

30. 
    Stochastic processes and mean square calculus on fractal curves

    Article • Random Operators and Stochastic Equations, April 2024, De Gruyter

    Prof Alireza Khalili Golmankhaneh

31. 
    Fractal Schrödinger equation: implications for fractal sets

    Article • Journal of Physics A Mathematical and Theoretical, April 2024, Institute of Physics Publishing

    Prof Alireza Khalili Golmankhaneh

32. 
    About Sobolev spaces on fractals: fractal gradians and Laplacians

    Article • Aequationes Mathematicae, April 2024, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

33. 
    Einstein field equations extended to fractal manifolds: A fractal perspective

    Article • Journal of Geometry and Physics, February 2024, Elsevier

    Prof Alireza Khalili Golmankhaneh

34. 
    An s-first return examination on s-sets

    Article • The Journal of Analysis, January 2024, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

35. 
    Dynamics in fractal spaces

    Article • Physics Letters B, January 2024, Elsevier

    Prof Alireza Khalili Golmankhaneh

36. 
    Modeling tumor growth using fractal calculus: Insights into tumor dynamics

    Article • Biosystems, January 2024, Elsevier

    Prof Alireza Khalili Golmankhaneh

37. 
    Fractal integral equations

    Article • Journal of Nonlinear Functional Analysis, January 2024, Mathematical Research Press

    Prof Alireza Khalili Golmankhaneh

38. 
    Fractal Mellin transform and non-local derivatives

    Article • Georgian Mathematical Journal, November 2023, De Gruyter

    Prof Alireza Khalili Golmankhaneh

39. 
    Fractal Laplace transform: analyzing fractal curves

    Article • The Journal of Analysis, October 2023, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

40. 
    Fractal calculus approach to diffusion on fractal combs

    Article • Chaos Solitons & Fractals, October 2023, Elsevier

    Prof Alireza Khalili Golmankhaneh

41. 
    On initial value problems of fractal delay equations

    Article • Applied Mathematics and Computation, July 2023, Elsevier

    Prof Alireza Khalili Golmankhaneh

42. 
    From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation

    Article • Physics Letters B, April 2023, Elsevier

    Prof Alireza Khalili Golmankhaneh

43. 
    Propagation of waves in fractal spaces

    Article • Waves in Random and Complex Media, March 2023, Taylor & Francis

    Prof Alireza Khalili Golmankhaneh

44. 
    Classical mechanics on fractal curves

    Article • The European Physical Journal Special Topics, February 2023, Springer Science + Business Media

    Prof. Yusif Gasimov, Prof Alireza Khalili Golmankhaneh

45. 
    Non-standard analysis for fractal calculus

    Article • The Journal of Analysis, January 2023, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

46. 
    On a new generalized local fractal derivative operator

    Article • Chaos Solitons & Fractals, August 2022, Elsevier

    Professor Praveen Agarwal, Prof Alireza Khalili Golmankhaneh

47. 
    Fractal Calculus and its Applications

    Article • May 2022, World Scientific Pub Co Pte Lt

    Prof Alireza Khalili Golmankhaneh

48. 
    Nonstandard and fractal electrodynamics in Finsler–Randers space

    Article • International Journal of Geometric Methods in Modern Physics, March 2022, World Scientific Pub Co Pte Lt

    Prof Alireza Khalili Golmankhaneh

49. 
    Modelling of Electron and Thermal Transport in Quasi-Fractal Carbon Nitride Nanoribbons

    Article • Fractal and Fractional, February 2022, MDPI AG

    Prof Alireza Khalili Golmankhaneh

50. 
    On Solving Fractional Higher-Order Equations via Artificial Neural Networks

    Article • Iranian Journal of Science and Technology Transactions A Science, February 2022, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

51. 
    Solving fractal differential equations via fractal Laplace transforms

    Article • Journal of Applied Analysis, January 2022, De Gruyter

    Prof Alireza Khalili Golmankhaneh

52. 
    Hyers–Ulam stability on local fractal calculus and radioactive decay

    Article • The European Physical Journal Special Topics, November 2021, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

53. 
    Laplace equations on the fractal cubes and Casimir effect

    Article • The European Physical Journal Special Topics, November 2021, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

54. 
    Fractal Calculus on Fractal Interpolation Functions

    Article • Fractal and Fractional, October 2021, MDPI AG

    Prof Alireza Khalili Golmankhaneh

55. 
    General characteristics of a fractal Sturm–Liouville problem

    Article • TURKISH JOURNAL OF MATHEMATICS, July 2021, The Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM) - DIGITAL COMMONS JOURNALS

    Prof Alireza Khalili Golmankhaneh

56. 
    Battery discharging model on fractal time sets

    Article • International Journal of Nonlinear Sciences and Numerical Simulation, June 2021, De Gruyter

    Prof Alireza Khalili Golmankhaneh

57. 
    Dynamics of particles in cold electrons plasma: fractional actionlike variational approach versus fractal spaces approach

    Article • Waves in Random and Complex Media, April 2021, Taylor & Francis

    Prof Alireza Khalili Golmankhaneh

58. 
    Generalized heat diffusion equations with variable coefficients and their fractalization from the Black-Scholes equation

    Article • Communications in Theoretical Physics, March 2021, Institute of Physics Publishing

    Prof Alireza Khalili Golmankhaneh

59. 
    Fractal Stochastic Processes on Thin Cantor-Like Sets

    Article • Mathematics, March 2021, MDPI AG

    Prof Alireza Khalili Golmankhaneh

60. 
    Electrical circuits involving fractal time

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, March 2021, American Institute of Physics

    Prof Alireza Khalili Golmankhaneh

61. 
    The Nonlocal Fractal Integral Reverse Minkowski’s and Other Related Inequalities on Fractal Sets

    Article • Mathematical Problems in Engineering, February 2021, Hindawi Publishing Corporation

    Prof Alireza Khalili Golmankhaneh

62. 
    On fractional and fractal Einstein’s field equations

    Article • Modern Physics Letters A, January 2021, World Scientific Pub Co Pte Lt

    Prof Alireza Khalili Golmankhaneh

63. 
    Tsallis entropy on fractal sets

    Article • Journal of Taibah University for Science, January 2021, Taylor & Francis

    Prof Alireza Khalili Golmankhaneh

64. 
    On stability of a class of second alpha-order fractal differential equations

    Article • AIMS Mathematics, January 2020, American Institute of Mathematical Sciences (AIMS)

    Prof Alireza Khalili Golmankhaneh

65. 
    Stochastic differential equations on fractal sets

    Article • Stochastics, December 2019, Taylor & Francis

    Prof Alireza Khalili Golmankhaneh

66. 
    Fractal Logistic Equation

    Article • Fractal and Fractional, July 2019, MDPI AG

    Prof Alireza Khalili Golmankhaneh

67. 
    Random Variables and Stable Distributions on Fractal Cantor Sets

    Article • Fractal and Fractional, June 2019, MDPI AG

    Prof Alireza Khalili Golmankhaneh

68. 
    Sumudu transform in fractal calculus

    Article • Applied Mathematics and Computation, June 2019, Elsevier

    Prof Alireza Khalili Golmankhaneh

69. 
    Analogues to Lie Method and Noether’s Theorem in Fractal Calculus

    Article • Fractal and Fractional, May 2019, MDPI AG

    Prof Alireza Khalili Golmankhaneh

70. 
    Statistical Mechanics Involving Fractal Temperature

    Article • Fractal and Fractional, April 2019, MDPI AG

    Prof Alireza Khalili Golmankhaneh

71. 
    On the Fractal Langevin Equation

    Article • Fractal and Fractional, March 2019, MDPI AG

    Prof Alireza Khalili Golmankhaneh

72. 
    Fractal Calculus of Functions on Cantor Tartan Spaces

    Article • Fractal and Fractional, December 2018, MDPI AG

    Prof Alireza Khalili Golmankhaneh

73. 
    On artificial neural networks approach with new cost functions

    Article • Applied Mathematics and Computation, December 2018, Elsevier

    Prof Alireza Khalili Golmankhaneh

74. 
    About Kepler’s Third Law on fractal-time spaces

    Article • Ain Shams Engineering Journal, December 2018, Elsevier

    Prof Alireza Khalili Golmankhaneh

75. 
    Diffusion on Middle-ξ Cantor Sets

    Article • Entropy, July 2018, MDPI AG

    Prof Alireza Khalili Golmankhaneh

76. 
    Noteworthy fractal features and transport properties of Cantor tartans

    Article • Physics Letters A, June 2018, Elsevier

    Prof Alireza Khalili Golmankhaneh

77. 
    Sub- and super-diffusion on Cantor sets: Beyond the paradox

    Article • Physics Letters A, April 2018, Elsevier

    Prof Alireza Khalili Golmankhaneh

78. 
    PSO and NN modeling for photocatalytic removal of pollution in wastewater

    Article • October 2017, Institute of Electrical & Electronics Engineers (IEEE)

    Prof Alireza Khalili Golmankhaneh

79. 
    Energy Straggling Function by Fα-Calculus

    Article • Journal of Computational and Nonlinear Dynamics, May 2017, ASME International

    Prof Alireza Khalili Golmankhaneh

80. 
    On the Lipschitz condition in the fractal calculus

    Article • Chaos Solitons & Fractals, February 2017, Elsevier

    Prof Alireza Khalili Golmankhaneh

81. 
    Using ANNs Approach for Solving Fractional Order Volterra Integro-differential Equations

    Article • International Journal of Computational Intelligence Systems, January 2017, Atlantis Press

    Prof Alireza Khalili Golmankhaneh

82. 
    On the calculus of parameterized fractal curves

    Article • TURKISH JOURNAL OF PHYSICS, January 2017, The Scientific and Technological Research Council of Turkey

    Prof Alireza Khalili Golmankhaneh

83. 
    Fractal calculus involving gauge function

    Article • Communications in Nonlinear Science and Numerical Simulation, August 2016, Elsevier

    Prof Alireza Khalili Golmankhaneh

84. 
    Diffraction from fractal grating Cantor sets

    Article • Journal of Modern Optics, February 2016, Taylor & Francis

    Prof Alireza Khalili Golmankhaneh

85. 
    New Derivatives on the Fractal Subset of Real-Line

    Article • Entropy, January 2016, MDPI AG

    Prof Alireza Khalili Golmankhaneh

86. 
    Non-local Integrals and Derivatives on Fractal Sets with Applications

    Article • Open Physics, January 2016, De Gruyter

    Professor Dumitru Baleanu, Prof Alireza Khalili Golmankhaneh

87. 
    Brand Dynamics: A Case Study

    Article • SSRN Electronic Journal, January 2016, Elsevier

    Prof Alireza Khalili Golmankhaneh

88. 
    Calculus on Fractals

    Article • January 2015, De Gruyter

    Prof Alireza Khalili Golmankhaneh

89. 
    quantum mechanics on fractal time-space

    Article • International Journal of Theoretical Physics, September 2014, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

90. 
    About fuzzy Schrödinger equation

    Article • June 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Prof Alireza Khalili Golmankhaneh

91. 
    Solving fully fuzzy polynomials using feed-back neural networks

    Article • International Journal of Computer Mathematics, May 2014, Taylor & Francis

    Prof Alireza Khalili Golmankhaneh

92. 
    On Bernstein Polynomials Method to the System of Abel Integral Equations

    Article • Abstract and Applied Analysis, January 2014, Hindawi Publishing Corporation

    Prof Alireza Khalili Golmankhaneh

93. 
    On Fuzzy Fractional Laplace Transformation

    Article • Advances in Mathematical Physics, January 2014, Hindawi Publishing Corporation

    Prof Alireza Khalili Golmankhaneh

94. 
    Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets

    Article • Abstract and Applied Analysis, January 2014, Hindawi Publishing Corporation

    Prof Alireza Khalili Golmankhaneh, Prof. Dr. Hari Mohan Srivastava

95. 
    Synchronization in a nonidentical fractional order of a proposed modified system

    Article • Journal of Vibration and Control, July 2013, SAGE Publications

    Prof Alireza Khalili Golmankhaneh

96. 
    Lagrangian and Hamiltonian Mechanics on Fractals Subset of Real-Line

    Article • International Journal of Theoretical Physics, July 2013, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

97. 
    Analytic Solution for a Nonlinear Problem of Magneto-Thermoelasticity

    Article • Reports on Mathematical Physics, June 2013, Elsevier

    Prof Alireza Khalili Golmankhaneh

98. 
    About Maxwell’s equations on fractal subsets of ℝ3

    Article • Open Physics, January 2013, De Gruyter

    Prof Alireza Khalili Golmankhaneh

99. 
    On a new measure on fractals

    Article • Journal of Inequalities and Applications, January 2013, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

100. 
     The Proposed Modified Liu System with Fractional Order

     Article • Advances in Mathematical Physics, January 2013, Hindawi Publishing Corporation

     Prof Alireza Khalili Golmankhaneh

101. 
     Numerical solution of linear integral equations system using the Bernstein collocation method

     Article • Advances in Difference Equations, January 2013, Springer Science + Business Media

     Prof Alireza Khalili Golmankhaneh

102. 
     On the Fractional Hamilton and Lagrange Mechanics

     Article • International Journal of Theoretical Physics, April 2012, Springer Science + Business Media

     Prof Alireza Khalili Golmankhaneh

103. 
     Structure of magnetic field lines

     Article • Communications in Nonlinear Science and Numerical Simulation, February 2012, Elsevier

     Prof Alireza Khalili Golmankhaneh

104. 
     Comparison of iterative methods by solving nonlinear Sturm-Liouville, Burgers and Navier-Stokes equations

     Article • Open Physics, January 2012, De Gruyter

     Prof Alireza Khalili Golmankhaneh

105. 
     On nonlinear fractional Klein–Gordon equation

     Article • Signal Processing, March 2011, Elsevier

     Prof Alireza Khalili Golmankhaneh

106. 
     The Fractional Virial Theorem

     Article • Fractional Differential Calculus, January 2011, Element d.o.o.

     Prof Alireza Khalili Golmankhaneh

107. 
     Fractional Odd-Dimensional Mechanics

     Article • Advances in Difference Equations, January 2011, Springer Science + Business Media

     Prof Alireza Khalili Golmankhaneh

108. 
     On electromagnetic field in fractional space

     Article • Nonlinear Analysis Real World Applications, February 2010, Elsevier

     Prof Alireza Khalili Golmankhaneh

109. 
     Fractional Newtonian mechanics

     Article • Open Physics, January 2010, De Gruyter

     Professor Dumitru Baleanu, Prof Alireza Khalili Golmankhaneh

110. 
     On Fractional Dynamics on the Extended Phase Space

     Article • Journal of Computational and Nonlinear Dynamics, January 2010, ASME International

     Prof Alireza Khalili Golmankhaneh

111. 
     Hamiltonian Structure of Fractional First Order Lagrangian

     Article • International Journal of Theoretical Physics, December 2009, Springer Science + Business Media

     Prof Alireza Khalili Golmankhaneh

112. 
     Relativistic scalar fields for non-conservative systems

     Article • Physica Scripta, October 2009, Institute of Physics Publishing

     Prof Alireza Khalili Golmankhaneh

113. 
     Newtonian law with memory

     Article • Nonlinear Dynamics, August 2009, Springer Science + Business Media

     Prof Alireza Khalili Golmankhaneh

114. 
     Fractional Electromagnetic Equations Using Fractional Forms

     Article • International Journal of Theoretical Physics, August 2009, Springer Science + Business Media

     Prof Alireza Khalili Golmankhaneh

115. 
     The Dual Action of Fractional Multi Time Hamilton Equations

     Article • International Journal of Theoretical Physics, May 2009, Springer Science + Business Media

     Prof Alireza Khalili Golmankhaneh

116. 
     Fractional Mechanics on the Extended Phase Space

     Article • January 2009, ASME International

     Prof Alireza Khalili Golmankhaneh

117. 
     Fractional Nambu Mechanics

     Article • International Journal of Theoretical Physics, October 2008, Springer Science + Business Media

     Prof Alireza Khalili Golmankhaneh