All Stories

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