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ISSN: 2333-9721
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主页: https://www.mdpi.com/journal/fractalfract

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Some New Fractional Trapezium-Type Inequalities for Preinvex Functions

Artion Kashuri,Erhan Set,Rozana Liko

On the Fractal Langevin Equation

Alireza Khalili Golmankhaneh

Residual Power Series Method for Fractional Swift–Hohenberg Equation

D. G. Prakasha,Haci Mehmet Baskonus,P. Veeresha

Julia and Mandelbrot Sets for Dynamics over the Hyperbolic Numbers

Aaron Shukert,Patrick D. Shipman,Tristan Rendfrey,Vance Blankers

On q-Uniformly Mocanu Functions

Khalida Inayat Noor,Rizwan S. Badar

Regularized Integral Representations of the Reciprocal Gamma Function

Dimiter Prodanov

Approximate Solutions of the Damped Wave Equation and Dissipative Wave Equation in Fractal Strings

Dumitru Baleanu,Hassan Kamil Jassim

Homotopy Perturbation ρ-Laplace Transform Method and Its Application to the Fractional Diffusion Equation and the Fractional Diffusion-Reaction Equation

Aliou Niang Fall,Ndolane Sene

Partially Penetrated Well Solution of Fractal Single-Porosity Naturally Fractured Reservoirs

Ricardo Posadas-Mondragón,Rodolfo G. Camacho-Velázquez

Existence Theorems for Mixed Riemann–Liouville and Caputo Fractional Differential Equations and Inclusions with Nonlocal Fractional Integro-Differential Boundary Conditions

Ahmed Alsaedi,Bashir Ahmad,Sotiris K. Ntouyas

New Estimates for Exponentially Convex Functions via Conformable Fractional Operator

Khalida Inayat Noor,Muhammad Aslam Noor,Saima Rashid

Some New Generalizations for Exponentially s-Convex Functions and Inequalities via Fractional Operators

Ahmet Ocak Akdemir,Khalida Inayat Noor,Muhammad Aslam Noor,Saima Rashid

Hankel Determinants of Non-Zero Modulus Dixon Elliptic Functions via Quasi C Fractions

Adem K？l？？man,Rathinavel Silambarasan

Analogues to Lie Method and Noether’s Theorem in Fractal Calculus

Alireza Khalili Golmankhaneh,Cemil Tun？

Fractal Image Interpolation: A Tutorial and New Result

Chi Wah Kok,Wing Shan Tam

Intrinsic Metric Formulas on Some Self-Similar Sets via the Code Representation

Melis Güneri,Mustafa Saltan

The Fractal Calculus for Fractal Materials

Amir Pishkoo,Fakhri Khajvand Jafari,Mohammad Sadegh Asgari

On Analytic Functions Involving the q-Ruscheweyeh Derivative

Khalida Inayat Noor

Integral Representations and Algebraic Decompositions of the Fox-Wright Type of Special Functions

Dimiter Prodanov

Study of Fractal Dimensions of Microcrystalline Cellulose Obtained by the Spray-Drying Method

Michael Ioelovich

Novel Fractional Models Compatible with Real World Problems

Ahu Ercan,Erdal Bas,Ramazan Ozarslan

An Application of the Sonine–Letnikov Fractional Derivative for the Radial Schr？dinger Equation

Okkes Ozturk,Resat Yilmazer

Moment Bound of Solution to a Class of Conformable Time-Fractional Stochastic Equation

Eze R. Nwaeze,McSylvester Ejighikeme Omaba

Determination of the Fractal Dimension of the Fracture Network System Using Image Processing Technique

Kamran Goshtasbi,Morteza Ahmadi,Rouhollah Basirat

Statistical Mechanics Involving Fractal Temperature

Alireza Khalili Golmankhaneh

Fractal Curves from Prime Trigonometric Series

Dimitris Vartziotis,Doris Bohnet

Option Pricing Models Driven by the Space-Time Fractional Diffusion: Series Representation and Applications

Jan Korbel,Jean-Philippe Aguilar

Approximate Controllability of Semilinear Stochastic Integrodifferential System with Nonlocal Conditions

Annamalai Anguraj,K. Ramkumar

Analytical Solutions to Fractional Fluid Flow and Oscillatory Process Models

Ibrahim O. Sarumi,Rahmatullah I. Nuruddeen,Yusuf F. Zakariya,Yusuf O. Afolabi

Dynamic Fractional Inequalities Amplified on Time Scale Calculus Revealing Coalition of Discreteness and Continuity

Muhammad Jibril Shahab Sahir

Mathematical Modeling of Solutes Migration under the Conditions of Groundwater Filtration by the Model with the k-Caputo Fractional Derivative

Volodymyr Bulavatsky,Vsevolod Bohaienko

Implementation and Convergence Analysis of Homotopy Perturbation Coupled With Sumudu Transform to Construct Solutions of Local-Fractional PDEs

Fethi B. M. Belgacem,Kamal Ait Touchent,Toufik Mekkaoui,Zakia Hammouch

Poiseuille Flow of a Non-Local Non-Newtonian Fluid with Wall Slip: A First Step in Modeling Cerebral Microaneurysms

Corina S. Drapaca

Fractional Derivatives with the Power-Law and the Mittag–Leffler Kernel Applied to the Nonlinear Baggs–Freedman Model

Abdon Atangana,José Francisco Gómez-Aguilar

Non-Gaussian Distributions to Random Walk in the Context of Memory Kernels

Maike A. F. Dos Santos

Fractional Velocity as a Tool for the Study of Non-Linear Problems

Dimiter Prodanov

A Fractional B-spline Collocation Method for the Numerical Solution of Fractional Predator-Prey Models

Francesca Pitolli

Fatigue-Induced Cole Electrical Impedance Model Changes of Biceps Tissue Bioimpedance

Bo Fu,Todd J. Freeborn

Nonlinear Vibration of a Nonlocal Nanobeam Resting on Fractional-Order Viscoelastic Pasternak Foundations

Alidou Mohamadou,Gambo Betchewe,Guy Joseph Eyebe,Timoleon Crepin Kofane

European Vanilla Option Pricing Model of Fractional Order without Singular Kernel

Mehmet Yavuz,Necati ？zdemir

Comparison between the Second and Third Generations of the CRONE Controller: Application to a Thermal Diffusive Interface Medium

Fady Christophy,Roy Abi Zeid Daou,Xavier Moreau

Monitoring Liquid-Liquid Mixtures Using Fractional Calculus and Image Analysis

Andrea Ryba,Ervin K. Lenzi,Marcelo K. Lenzi

Fractal Calculus of Functions on Cantor Tartan Spaces

Alireza Khalili Golmankhaneh,Arran Fernandez

Generalized Memory: Fractional Calculus Approach

Vasily E. Tarasov

Power Laws in Fractionally Electronic Elements

Ming Li

Does a Fractal Microstructure Require a Fractional Viscoelastic Model?

Jun Zhang,Martin Ostoja-Starzewski

Emergence of Fractional Kinetics in Spiny Dendrites

Francesco Mainardi,Gastone Castellani,Silvia Vitali

Fractional Diffusion Models for the Atmosphere of Mars

David Usero,Luis Vázquez,Maria Pilar Velasco,Salvador Jiménez

Minkowski Dimension and Explicit Tube Formulas for p-Adic Fractal Strings

Hùng L？’,Machiel Van Frankenhuijsen,Michel L. Lapidus

Lyapunov Characterization of the Fractional Nonlinear Systems with Exogenous Input

Ndolane Sene

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