Results 181 to 190 of about 13,452 (220)

Convergence to logarithmic-type functions of solutions of fractional systems with Caputo-Hadamard and Hadamard fractional derivatives

Fractional Calculus and Applied Analysis, 2023
M. Kassim
semanticscholar   +3 more sources

Numerical solution of coupled fractional Ginzburg–Landau equations under Caputo–Hadamard derivative

Results in Physics
F. Rostami, M. Heydari, M. Bayram, D. Baleanu   +3 more
semanticscholar   +2 more sources

Some results for a class of delayed fractional partial differential equations with Caputo–Hadamard derivative

Mathematical Methods in the Applied Sciences, 2023
In this paper, we study the existence and uniqueness of the global solution to the Fractional Hyperbolic Systems of Partial Differential equations (FHyPDifS) by the Caputo–Hadamard fractional‐order derivative. In addition, we give a new sufficient conditions for the finite time stability (FTS) of FHyPDifS for the Caputo–Hadamard fractional‐order ...
Hassen Arfaoui, Abdellatif Ben Makhlouf
openaire   +2 more sources

Existence and uniqueness of solutions for generalized Sturm–Liouville and Langevin equations via Caputo–Hadamard fractional-order operator

Engineering computations, 2022
PurposeThis paper aims to investigate the existence and uniqueness of solution for generalized Sturm–Liouville and Langevin equations formulated using Caputo–Hadamard fractional derivative operator in accordance with three nonlocal Hadamard fractional ...
I. Batiha, Adel Ouannas, Ramzi B. Albadarneh, Abeer A. Al-Nana, S. Momani   +4 more
semanticscholar   +1 more source

Spectral deferred correction method for fractional initial value problem with Caputo-Hadamard derivative

Mathematics and Computers in Simulation
Xiaoyuan Liu, M. Cai
semanticscholar   +3 more sources

Center Manifold Reduction for Caputo-Hadamard Fractional Differential System

Journal of Computational and Nonlinear Dynamics
The aim of this paper is to establish a local fractional center manifold reduction that aligns with the distinctive characteristics of Caputo-Hadamard fractional differential system (C-HFDS).
Li Ma, Ya Shu
semanticscholar   +1 more source

Asymptotic behaviours of solution to Caputo–Hadamard fractional partial differential equation with fractional Laplacian

International Journal of Computational Mathematics, 2020
In this paper, we study the asymptotic behaviours of solution to time–space fractional diffusion equation, where the time derivative with order α is in the sense of Caputo–Hadamard and the spatial derivative is in the sense of fractional Laplacian ...
Changpin Li, Zhiqiang Li
semanticscholar   +1 more source

Inverse initial problem for fractional wave equation with the Hadamard fractional derivative

Kazakh Mathematical Journal
This paper investigates an inverse initial problem for a time-fractional wave equation involving the Hadamard fractional derivative. Unlike the more widely studied Caputo and Riemann–Liouville derivatives, the Hadamard derivative is defined via a ...
Zukhridin Alimov, S. Kerbal
semanticscholar   +1 more source

On the Ulam stability and existence of $ L^p $-solutions for fractional differential and integro-differential equations with Caputo-Hadamard derivative

Mathematical Modelling and Control
In this paper, we investigate the existence and uniqueness of $ L^p $-solutions for nonlinear fractional differential and integro-differential equations with boundary conditions using the Caputo-Hadamard derivative.
Abduljawad K. Anwar, S. Murad
semanticscholar   +1 more source

The Blow-Up and Global Existence of Solution to Caputo–Hadamard Fractional Partial Differential Equation with Fractional Laplacian

Journal of nonlinear science, 2021
Changpin Li, Zhiqiang Li
semanticscholar   +1 more source