All Stories

  1. Multilayered neural network for power series‐based approximation of fractional delay differential equations

    Article • Mathematical Methods in the Applied Sciences, March 2024, Wiley

    Pranay Goswami

  2. Numerical solution of coupled system of Emden-Fowler equations using artificial neural network technique

    Article • An International Journal of Optimization and Control Theories & Applications (IJOCTA), January 2024, International Journal of Optimization and Control: Theories and Applications

    Pranay Goswami

  3. Analysis of the n-Term Klein-Gordon Equations in Cantor Sets

    Article • Chaos Theory and Applications, December 2023, Akif Akgul

    Pranay Goswami

  4. An Analysis of the Effects of Lifestyle Changes by Using a Fractional-Order Population Model of the Overweight/Obese Diabetic Population

    Article • Fractal and Fractional, November 2023, MDPI AG

    Pranay Goswami

  5. Analytical solution of local fractal continuum traffic flow model

    Article • Physica Scripta, November 2023, Institute of Physics Publishing

    Pranay Goswami

  6. Majorization property for certain classes of analytic functions associated with general operator

    Article • Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, October 2023, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

    Pranay Goswami

  7. Solving General Fractional Lane-Emden-Fowler Differential Equations Using Haar Wavelet Collocation Method

    Article • Fractal and Fractional, August 2023, MDPI AG

    Pranay Goswami

  8. A generalized local fractional LWR model of vehicular traffic flow and its solution

    Article • Mathematical Methods in the Applied Sciences, August 2023, Wiley

    Pranay Goswami

  9. Numerical solution of general Emden–Fowler equation using Haar wavelet collocation method

    Article • International Journal of Computer Mathematics, July 2023, Taylor & Francis

    Pranay Goswami

  10. A new fractional derivative operator and its application to diffusion equation

    Article • Mathematical Methods in the Applied Sciences, June 2023, Wiley

    Ravi S Dubey, Pranay Goswami

  11. Fractional SIAQR model with time dependent infection rate

    Article • Arab Journal of Basic and Applied Sciences, May 2023, Taylor & Francis

    Pranay Goswami

  12. On the solution of generalized time-fractional telegraphic equation

    Article • Applied Mathematics in Science and Engineering, February 2023, Taylor & Francis

    Pranay Goswami

  13. Bitcoin Forecasting Performance Measurement: A Comparative Study of Econometric, Machine Learning and Artificial Intelligence-Based Models

    Article • Journal of International Commerce Economics and Policy, February 2023, World Scientific Pub Co Pte Lt

    Pranay Goswami

  14. Numerical Solution of Time-Fractional Emden–Fowler-Type Equations Using the Rational Homotopy Perturbation Method

    Article • Symmetry, January 2023, MDPI AG

    Pranay Goswami

  15. Comprehending the model of omicron variant using fractional derivatives

    Article • Applied Mathematics in Science and Engineering, December 2022, Taylor & Francis

    Pranay Goswami

  16. Analysis of the Multi-Dimensional Navier–Stokes Equation by Caputo Fractional Operator

    Article • Fractal and Fractional, December 2022, MDPI AG

    Pranay Goswami

  17. Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation

    Article • Hacettepe Journal of Mathematics and Statistics, October 2022, Hacettepe Journal of Biology and Chemistry

    Pranay Goswami

  18. Solution of Generalized Fractional Burgers Equation with a Nonlinear Term

    Article • International Journal of Applied and Computational Mathematics, August 2022, Springer Science + Business Media

    Pranay Goswami

  19. Effect of Covid-19 in India- A prediction through mathematical modeling using Atangana Baleanu fractional derivative

    Article • Journal of Interdisciplinary Mathematics, May 2022, Taru Publications

    Pranay Goswami

  20. Majorization for Certain Classes of Analytic Functions Defined by Fournier–Ruscheweyh Integral Operator

    Article • Journal of Mathematics, May 2022, Hindawi Publishing Corporation

    Pranay Goswami

  21. Analytical method to solve the local fractional vehicular traffic flow model

    Article • Mathematical Methods in the Applied Sciences, December 2021, Wiley

    Pranay Goswami

  22. An Approximate Solution of the Time-Fractional Two-Mode Coupled Burgers Equation

    Article • Fractal and Fractional, November 2021, MDPI AG

    Pranay Goswami

  23. Fractional model of Ebola virus in population of bats in frame of Atangana-Baleanu fractional derivative

    Article • Results in Physics, July 2021, Elsevier

    Pranay Goswami

  24. SOLUTION OF THE LOCAL FRACTIONAL GENERALIZED KDV EQUATION USING HOMOTOPY ANALYSIS METHOD

    Article • Fractals, March 2021, World Scientific Pub Co Pte Lt

    Pranay Goswami

  25. On the solution of (n+1)-dimensional fractional M-Burgers equation

    Article • Alexandria Engineering Journal, February 2021, Elsevier

    Pranay Goswami

  26. Solution of Modified Bergman Minimal Blood Glucose-Insulin Model Using Caputo-Fabrizio Fractional Derivative

    Article • Computer Modeling in Engineering & Sciences, January 2021, Computers, Materials and Continua (Tech Science Press)

    Pranay Goswami

  27. Suficient condition for q-starlike and q-convex functions associated with generalized confluent hypergeometric function

    Article • Advances in the Theory of Nonlinear Analysis and its Application, December 2020, Advances in the Theory of Nonlinear Analysis and its Application

    Pranay Goswami

  28. Analytical solution of non-linear fractional Burger’s equation in the framework of different fractional derivative operators

    Article • Results in Physics, December 2020, Elsevier

    Pranay Goswami

  29. New classes of bi-univalent functions

    Article • Journal of Interdisciplinary Mathematics, February 2020, Taru Publications

    Pranay Goswami

  30. Solving time-fractional chemical engineering equations by generalized differential transform method

    Article • Thermal Science, January 2020, National Library of Serbia

    Pranay Goswami

  31. Results of differential subordination for a unified subclass of analytic functions defined using generalized Ruscheweyh derivative operator

    Article • Asian-European Journal of Mathematics, May 2019, World Scientific Pub Co Pte Lt

    Pranay Goswami

  32. New Trends on Analytic Function Theory

    Article • Journal of Complex Analysis, January 2019, Hindawi Publishing Corporation

    Pranay Goswami

  33. Some fractional integral inequalities for the Katugampola integral operator

    Article • AIMS Mathematics, January 2019, American Institute of Mathematical Sciences (AIMS)

    Pranay Goswami

  34. Analytical solution of the nonlinear diffusion equation

    Article • The European Physical Journal Plus, May 2018, Springer Science + Business Media

    Pranay Goswami

  35. The norm of pre-Schwarzian derivative on subclasses of bi-univalent functions

    Article • AIMS Mathematics, January 2018, American Institute of Mathematical Sciences (AIMS)

    Pranay Goswami

  36. The Solution of Modified Fractional Bergman’s Minimal Blood Glucose-Insulin Model

    Article • Entropy, May 2017, MDPI AG

    Pranay Goswami

  37. Solution of fractional oxygen diffusion problem having without singular kernel

    Article • The Journal of Nonlinear Sciences and Applications, January 2017, International Scientific Research Publications MY SDN. BHD.

    Pranay Goswami

  38. Estimate for initial MacLaurin coefficients of certain subclasses of bi-univalent functions

    Article • Miskolc Mathematical Notes, January 2017, Mathematical Notes

    Pranay Goswami

  39. On the solution of linear and nonlinear partial differential equations: applications of local fractional Sumudu variational method

    Article • Journal of Mathematics and Computer Science, September 2016, International Scientific Research Publications MY SDN. BHD.

    Pranay Goswami

  40. Adomian decomposition method for n-dimensional diffusion model in fractal heat transfer

    Article • The Journal of Nonlinear Sciences and Applications, May 2016, International Scientific Research Publications MY SDN. BHD.

    Pranay Goswami

  41. Solutions of fractional differential equations by Sumudu transform and variational iteration method

    Article • The Journal of Nonlinear Sciences and Applications, April 2016, International Scientific Research Publications MY SDN. BHD.

    Pranay Goswami

  42. Complex Analysis

    Article • Open Mathematics, January 2016, De Gruyter

    Professor Teodor Bulboaca, Pranay Goswami

  43. Coefficients Estimates of the Class of Biunivalent Functions

    Article • Journal of Function Spaces, January 2016, Hindawi Publishing Corporation

    Pranay Goswami

  44. On the Solution of Local Fractional Differential Equations Using Local Fractional Laplace Variational Iteration Method

    Article • Mathematical Problems in Engineering, January 2016, Hindawi Publishing Corporation

    Pranay Goswami

  45. A Treatment of Generalized Fractional Differential Equations: Sumudu Transform Series Expansion Solutions, and Applications

    Article • December 2015, De Gruyter

    Pranay Goswami

  46. On the Solution of Generalized Space Time Fractional Telegraph Equation

    Article • Mathematical Problems in Engineering, January 2015, Hindawi Publishing Corporation

    Pranay Goswami

  47. Extensions of some generalized conditions for starlikeness and convexity

    Article • Journal of Inequalities and Applications, October 2014, Springer Science + Business Media

    Pranay Goswami

  48. Some radii problems related to certain p-valent meromorphic functions

    Article • Indian Journal of Pure and Applied Mathematics, June 2014, Springer Science + Business Media

    Pranay Goswami

  49. Sufficient conditions for certain subclasses of meromorphic p-valent functions

    Article • Boletim da Sociedade Paranaense de Matemática, May 2014, Sociedade Paranaense de Matematica

    Pranay Goswami

  50. Subordination for multivalent analytic functions associated with Wright generalized hypergeometric function.

    Article • Tamkang Journal of Mathematics, March 2013, Tamkang Journal of Mathematics

    Pranay Goswami

  51. Starlikeness of General Integral Operator for Meromorphic Multivalent Functions

    Article • Journal of Complex Analysis, January 2013, Hindawi Publishing Corporation

    Pranay Goswami

  52. Extensions of sufficient conditions for starlikeness and convexity of order α for multivalent function

    Article • Applied Mathematics Letters, November 2012, Elsevier

    Pranay Goswami

  53. Estimate for initial Maclaurin coefficients of bi-univalent functions for a class defined by fractional derivatives

    Article • Journal of the Egyptian Mathematical Society, October 2012, Springer Science + Business Media

    Pranay Goswami

  54. Certain properties of a new subclass of close-to-convex functions

    Article • Arabian Journal of Mathematics, April 2012, Springer Science + Business Media

    Pranay Goswami

  55. Majorization for certain classes of meromorphic functions defined by integral operator

    Article • Annales Universitatis Mariae Curie-Sklodowska sectio A – Mathematica, January 2012, Wydawnictwo Uniwersyteu Marii Curi-Sklodowskiej w Lublinie

    Pranay Goswami

  56. Solving special fractional differential equations by Sumudu transform

    Article • January 2012, American Institute of Physics

    Pranay Goswami

  57. Some relations between certain classes of analytic functions

    Article • Journal of Classical Analysis, January 2012, Element d.o.o.

    Pranay Goswami

  58. On certain properties for a subclass of close-to-convex functions

    Article • Journal of Classical Analysis, January 2012, Element d.o.o.

    Pranay Goswami

  59. Subclasses of spirallike multivalent functions

    Article • Mathematical and Computer Modelling, December 2011, Elsevier

    Pranay Goswami

  60. On Some Integral Operators for Certain Classes of p‐Valent Functions

    Article • International Journal of Mathematics and Mathematical Sciences, January 2011, Wiley

    Pranay Goswami

  61. Majorization properties for certain classes of analytic functions using the Sălăgean operator

    Article • Applied Mathematics Letters, November 2010, Elsevier

    Pranay Goswami

  62. Majorization for certain classes of analytic functions using multiplier transformation

    Article • Applied Mathematics Letters, May 2010, Elsevier

    Pranay Goswami

  63. Majorization for certain classes of analytic functions defined by fractional derivatives

    Article • Applied Mathematics Letters, December 2009, Elsevier

    Pranay Goswami

  64. On sufficient conditions for analytic functions to be Bazilevi[cbreve]

    Article • Complex Variables and Elliptic Equations, May 2009, Taylor & Francis

    Pranay Goswami

  65. Subordination and Superordination Results for a Class of Analytic Multivalent Functions

    Article • International Journal of Mathematics and Mathematical Sciences, January 2008, Hindawi Publishing Corporation

    Pranay Goswami

  66. Subordinants of differential superordinations

    Article • Complex Variables Theory and Application An International Journal, October 2003, Taylor & Francis

    Pranay Goswami