All Stories

  1. Stress and power as a response to harmonic excitation of a fractional anti‐Zener and Zener type viscoelastic body
  2. Wave propagation in three-dimensional fractional viscoelastic infinite solid body
  3. Fractional calculus in modelling hereditariness and nonlocality in transmission lines
  4. Energy balance for fractional anti-Zener and Zener models in terms of relaxation modulus and creep compliance
  5. Dissipative and generative fractional RLC circuits in the transient regime
  6. Fractionalization of anti-Zener and Zener models via rheological analogy
  7. The Influence of Temperature on Rheological Properties of Three Root Canal Sealers
  8. Electromagnetic field in a conducting medium modeled by the fractional Ohm’s law
  9. Frequency Characteristics of Dissipative and Generative Fractional RLC Circuits
  10. Fractional Burgers wave equation on a finite domain
  11. Transmission line modeling by fractional and topological generalization of the telegrapher's equation
  12. Transient Regime of Fractional RLC Circuit
  13. Dissipative and generative fractional electric elements in modeling $${\varvec{RC}}$$ and $${\varvec{RL}}$$ circuits
  14. Fractional RLC circuit in transient and steady state regimes
  15. Non-local telegrapher’s equation as a transmission line model
  16. Energy dissipation for hereditary and energy conservation for non-local fractional wave equations
  17. Hereditariness and non-locality in wave propagation modeling
  18. Fractional Burgers wave equation
  19. Fractional Burgers models in creep and stress relaxation tests
  20. Frequency Characteristics of Two Topologies Representing Fractional Order Transmission Line Model
  21. Bifurcation analysis of the rotating axially compressed nano‐rod with imperfections
  22. Distributed-order fractional constitutive stress–strain relation in wave propagation modeling
  23. Formulation of thermodynamically consistent fractional Burgers models
  24. A non-linear thermo-viscoelastic rheological model based on fractional derivatives for high temperature creep in concrete
  25. Analytical and numerical treatment of the heat conduction equation obtained via time-fractional distributed-order heat conduction law
  26. Properties of the Caputo-Fabrizio fractional derivative and its distributional settings
  27. Fractional telegrapher’s equation as a consequence of Cattaneo’s heat conduction law generalization
  28. Buckling and Postbuckling of a Heavy Compressed Nanorod on Elastic Foundation
  29. Frequency analysis of generalized time-fractional telegrapher's equation
  30. Solvability and microlocal analysis of the fractional Eringen wave equation
  31. Viscoelastic body colliding against a rigid wall with and without dry friction effects
  32. Dynamic Stability of Axially Loaded Nonlocal Rod on Generalized Pasternak Foundation
  33. Generalized time-fractional telegrapher’s equation in transmission line modeling
  34. Microlocal analysis of fractional wave equations
  35. Euler–Lagrange Equations for Lagrangians Containing Complex-order Fractional Derivatives
  36. Complex order fractional derivatives in viscoelasticity
  37. Viscoelastic properties of uncured resin composites: Dynamic oscillatory shear test and fractional derivative model
  38. Fractional two-compartmental model for articaine serum levels
  39. Rotating Nanorod with Clamped Ends
  40. Nano- and viscoelastic Beck’s column on elastic foundation
  41. Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin–Voigt type
  42. Space-time fractional Zener wave equation
  43. Convergence analysis of a numerical scheme for two classes of non-linear fractional differential equations
  44. Vibrations with Fractional Dissipation
  45. Fractional Diffusion-Wave Equations
  46. Fractional Heat Conduction Equations
  47. Mathematical Preliminaries
  48. Mathematical Preliminaries
  49. Lateral Vibrations and Stability of Viscoelastic Rods
  50. Restrictions Following from the Thermodynamics for Fractional Derivative Models of a Viscoelastic Body
  51. Basic Definitions and Properties of Fractional Integrals and Derivatives
  52. Basic Definitions and Properties of Fractional Integrals and Derivatives
  53. Waves in Viscoelastic Materials of Fractional-Order Type
  54. Forced Oscillations of a System: Viscoelastic Rod and Body
  55. Variational Problems with Fractional Derivatives
  56. Impact of Viscoelastic Body Against the Rigid Wall
  57. Fractional Calculus with Applications in Mechanics
  58. Fractional Calculus With Applications in Mechanics
  59. Expansion formula for fractional derivatives in variational problems
  60. An initial value problem arising in mechanics
  61. A model of the viscoelastic behavior of flowable resin composites prior to setting
  62. On the Bagley–Torvik Equation
  63. Stability of the rotating compressed nano-rod
  64. On the fractional generalization of Eringenʼs nonlocal elasticity for wave propagation
  65. Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type
  66. An expansion formula for fractional derivatives of variable order
  67. Complementary variational principles with fractional derivatives
  68. The Cattaneo type space-time fractional heat conduction equation
  69. Waves in viscoelastic media described by a linear fractional model
  70. Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod
  71. Thermodynamical Restrictions and Wave Propagation for a Class of Fractional Order Viscoelastic Rods
  72. Distributed-order fractional wave equation on a finite domain: creep and forced oscillations of a rod
  73. Waves in fractional Zener type viscoelastic media
  74. Existence and calculation of the solution to the time distributed order diffusion equation
  75. Time distributed-order diffusion-wave equation. I. Volterra-type equation
  76. Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations
  77. A diffusion wave equation with two fractional derivatives of different order