All Stories

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