Homotopy Perturbation Transform method for solving the partial and the time-fractional differential equations with variable coefficients [PDF]
, 2020 In this paper, we present the exact solutions of the Parabolic-like equations and Hyperbolic-like equations with variable coefficients, by using Homotopy perturbation transform method (HPTM).
Kehaili, Abdelkader +2 more
core +1 more source
Second Order Fuzzy Fractional Differential Equations Under Caputo’s H-Differentiability [PDF]
, 2017 The aim of this paper is to use the concept of the generalized H-derivative to define fuzzy Caputo’s H-derivative of order β ∈(1,2]. Our definition is an extension of fuzzy Caputo’s H-derivative of order β ∈(0,1] and higher order H-derivative of ...
Mohammad Al-Momani +7 more
core +1 more source
Analytical Solution for the Fractional Partial Differential Equations by Adomian Decomposition and Modified Decomposition Method [PDF]
Engineering and Technology Journal, 2013 In this paper, analytical solution of the fractional partial differential equation has been presented. The algorithm for the analytical solution for this equation is based on Adomian's decomposition and modified decomposition method.
Iman Isho Gorial
doaj +1 more source
An existence result for the fractional Kelvin–Voigt’s model on time-dependent cracked domains [PDF]
, 2021 We prove an existence result for the fractional Kelvin–Voigt’s model involving Caputo’s derivative on time-dependent cracked domains. We first show the existence of a solution to a regularized version of this problem.
Caponi M. +5 more
core +1 more source
On the existence of mild solutions for nonconvex fractional semilinear differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We establish some Filippov type existence theorems for solutions of fractional semilinear differential inclusions involving Caputo's fractional derivative in Banach spaces.
Aurelian Cernea
doaj +1 more source
Abstract and Applied Analysis, 2010 The qualitative behavior of a perturbed fractional-order differential equation with Caputo's derivative that differs in initial position and initial time with respect to the unperturbed fractional-order differential equation with Caputo's derivative has ...
Coşkun Yakar
doaj +1 more source
Deflection of Beams Modeled by Fractional Differential Equations
Fractal and Fractional, 2022 Using the concept of a fractional derivative, in Caputo’s sense, we derive and solve a fractional differential equation that models the deflection of beams.
José Villa-Morales +2 more
doaj +1 more source
Fractional critical slowing down in some biological models
Frontiers in Physics, 2023 The critical slowing down (CSD) phenomenon of the switching time in response to perturbation β (0 < β < 1) of the control parameters at the critical points of the steady state bistable curves, associated with two biological models (the spruce ...
R. A. Alharbey, S. S. Hassan
doaj +1 more source
Caputo’s implicit solution of time-fractional diffusion equation using half-sweep AOR iteration [PDF]
, 2016 The aim of this paper deals with the application of Half-Sweep Accelerated Over- Relaxation (HSAOR) iterative method using an unconditionally implicit finite difference approximation equation from the discretization of the one-dimensional linear time ...
Andang Sunarto +2 more
core +2 more sources
Angewandte Chemie, EarlyView.Intramolecular chemically induced dimerisation transforms FK506‐ and cyclosporine A‐responsive protein pairs into high‐affinity pseudo‐allosteric switches. Holo‐selective binders isolated by mRNA display convert these switches into gain‐of‐signal biosensors and ultrasensitive ELISAs, enabling direct quantification of both immunosuppressants in ...
Zhenling Cui +15 more
wiley +2 more sources