All Stories

  1. Thermodynamics in fractal geometries: a fractal calculus approach
  2. Neural Networks with Fractal Architecture
  3. Fractal Calculus and Homotopy for Nonlinear Equations on Curves
  4. Fractal Ohm’s law and the Drude model in fractal time
  5. Control of second $$\alpha $$-order systems using fractal PD and PID controllers
  6. Neural network approaches for quantum energy level prediction
  7. Fractal RLC electrical circuits with fractal time
  8. PID Control of α-Order Systems in Fractal Time
  9. Cauchy problem approach to biharmonic models in fractal time and space
  10. A fractal formulation of string on fractal curves
  11. Fractal Riemann-Stieltjes Calculus
  12. Fractal Calculus Analysis of a Non-ideal Operational Amplifier Bandpass Filter
  13. COMPLEXITY-BASED COUPLING OF CARDIAC AND FACIAL MUSCLE RESPONSES TO OLFACTORY STIMULI
  14. Fractal green function theory
  15. On the generalized fractal calculus of variations
  16. About the Fractal Navier–Stokes Equations
  17. Picard’s Method for Solving Fractal Differential Equations
  18. Homotopy Perturbation Method for Fractal Differential Equations
  19. Fractal functions, self-similar measure and fractal dimensions on the Sierpiński gasket
  20. Fractal Signal Processing
  21. Fractal Calculus of Variations: A New Framework
  22. Fractal Frenet equations for Fractal curves: a fractal calculus approach
  23. Homotopy perturbation method for a system of fractal Schrödinger–Korteweg–de Vries equations
  24. Formulation and Quantization of Field Equations on Fractal Space-Time
  25. Fractal Itô Calculus: Extensions and Applications
  26. Fractal calculus: nonhomogeneous linear systems
  27. Extending Dirac and Faddeev-Jackiw Formalisms to Fractal First $$\alpha $$-Order Lagrangian Systems
  28. Fractal Sturm–Liouville problems
  29. Solving fractal differential equation via numerical methods
  30. Fractal Sturm–Liouville Theory
  31. ON HOMOGENEOUS SYSTEM OF FRACTAL DIFFERENTIAL EQUATIONS
  32. Fractal calculus of variations for problems with constraints
  33. Fractal Hankel Transform
  34. Regular fractal Dirac systems
  35. Fractal Nonlinear Klein-Gordon Equation
  36. Fractal Nambu Mechanics: Extending Dynamics with Fractal Calculus
  37. Fractal telegraph equation
  38. Fractal Differential Equations of 2α-Order
  39. Analyzing the stability of fractal delay differential equations
  40. Higher order fractal differential equations
  41. Power series solution for fractal differential equations
  42. Exact solutions of some fractal differential equations
  43. Expansion of the universe on fractal time: A study on the dynamics of cosmic growth
  44. Stochastic processes and mean square calculus on fractal curves
  45. Fractal Schrödinger equation: implications for fractal sets
  46. About Sobolev spaces on fractals: fractal gradians and Laplacians
  47. Einstein field equations extended to fractal manifolds: A fractal perspective
  48. An s-first return examination on s-sets
  49. Dynamics in fractal spaces
  50. Modeling tumor growth using fractal calculus: Insights into tumor dynamics
  51. Fractal integral equations
  52. Fractal Mellin transform and non-local derivatives
  53. Fractal Laplace transform: analyzing fractal curves
  54. Fractal calculus approach to diffusion on fractal combs
  55. On initial value problems of fractal delay equations
  56. From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation
  57. Propagation of waves in fractal spaces
  58. Classical mechanics on fractal curves
  59. Non-standard analysis for fractal calculus
  60. On a new generalized local fractal derivative operator
  61. Fractal Calculus and its Applications
  62. Nonstandard and fractal electrodynamics in Finsler–Randers space
  63. Modelling of Electron and Thermal Transport in Quasi-Fractal Carbon Nitride Nanoribbons
  64. On Solving Fractional Higher-Order Equations via Artificial Neural Networks
  65. Solving fractal differential equations via fractal Laplace transforms
  66. Hyers–Ulam stability on local fractal calculus and radioactive decay
  67. Laplace equations on the fractal cubes and Casimir effect
  68. Fractal Calculus on Fractal Interpolation Functions
  69. General characteristics of a fractal Sturm–Liouville problem
  70. Battery discharging model on fractal time sets
  71. Dynamics of particles in cold electrons plasma: fractional actionlike variational approach versus fractal spaces approach
  72. Generalized heat diffusion equations with variable coefficients and their fractalization from the Black-Scholes equation
  73. Fractal Stochastic Processes on Thin Cantor-Like Sets
  74. Electrical circuits involving fractal time
  75. The Nonlocal Fractal Integral Reverse Minkowski’s and Other Related Inequalities on Fractal Sets
  76. Equilibrium and non-equilibrium statistical mechanics with generalized fractal derivatives: A review
  77. On fractional and fractal Einstein’s field equations
  78. Tsallis entropy on fractal sets
  79. On stability of a class of second alpha-order fractal differential equations
  80. Stochastic differential equations on fractal sets
  81. Fractal Logistic Equation
  82. Random Variables and Stable Distributions on Fractal Cantor Sets
  83. Sumudu transform in fractal calculus
  84. Analogues to Lie Method and Noether’s Theorem in Fractal Calculus
  85. Statistical Mechanics Involving Fractal Temperature
  86. On the Fractal Langevin Equation
  87. Fractal Calculus of Functions on Cantor Tartan Spaces
  88. On artificial neural networks approach with new cost functions
  89. About Kepler’s Third Law on fractal-time spaces
  90. Diffusion on Middle-ξ Cantor Sets
  91. Noteworthy fractal features and transport properties of Cantor tartans
  92. Sub- and super-diffusion on Cantor sets: Beyond the paradox
  93. PSO and NN modeling for photocatalytic removal of pollution in wastewater
  94. Energy Straggling Function by Fα-Calculus
  95. On the Lipschitz condition in the fractal calculus
  96. Using ANNs Approach for Solving Fractional Order Volterra Integro-differential Equations
  97. On the calculus of parameterized fractal curves
  98. Fractal calculus involving gauge function
  99. Diffraction from fractal grating Cantor sets
  100. New Derivatives on the Fractal Subset of Real-Line
  101. Non-local Integrals and Derivatives on Fractal Sets with Applications
  102. Brand Dynamics: A Case Study
  103. Calculus on Fractals
  104. quantum mechanics on fractal time-space
  105. About fuzzy Schrödinger equation
  106. Solving fully fuzzy polynomials using feed-back neural networks
  107. On Bernstein Polynomials Method to the System of Abel Integral Equations
  108. On Fuzzy Fractional Laplace Transformation
  109. Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets
  110. Synchronization in a nonidentical fractional order of a proposed modified system
  111. Lagrangian and Hamiltonian Mechanics on Fractals Subset of Real-Line
  112. Analytic Solution for a Nonlinear Problem of Magneto-Thermoelasticity
  113. About Maxwell’s equations on fractal subsets of ℝ3
  114. On a new measure on fractals
  115. The Proposed Modified Liu System with Fractional Order
  116. Numerical solution of linear integral equations system using the Bernstein collocation method
  117. On the Fractional Hamilton and Lagrange Mechanics
  118. Structure of magnetic field lines
  119. Comparison of iterative methods by solving nonlinear Sturm-Liouville, Burgers and Navier-Stokes equations
  120. On nonlinear fractional Klein–Gordon equation
  121. The Fractional Virial Theorem
  122. Fractional Odd-Dimensional Mechanics
  123. On electromagnetic field in fractional space
  124. Fractional Newtonian mechanics
  125. On Fractional Dynamics on the Extended Phase Space
  126. Hamiltonian Structure of Fractional First Order Lagrangian
  127. Relativistic scalar fields for non-conservative systems
  128. Newtonian law with memory
  129. Fractional Electromagnetic Equations Using Fractional Forms
  130. The Dual Action of Fractional Multi Time Hamilton Equations
  131. Fractional Mechanics on the Extended Phase Space
  132. Fractional Nambu Mechanics