Results 11 to 20 of about 397,746 (163)

Galerkin Finite Element Method for Caputo–Hadamard Time-Space Fractional Diffusion Equation

Mathematics
In this paper, we study the Caputo–Hadamard time-space fractional diffusion equation, where the Caputo derivative is defined in the temporal direction and the Hadamard derivative is defined in the spatial direction separately.
Zhengang Zhao, Yunying Zheng
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Logarithmic Bernstein functions for fractional Rosenau–Hyman equation with the Caputo–Hadamard derivative [PDF]

Results in Physics
In this study, the Caputo–Hadamard derivative is fittingly used to define a fractional form of the Rosenau–Hyman equation. To solve this equation, the orthonormal logarithmic Bernstein functions (BFs) are created as a suitable basis for handling this ...
M.H. Heydari, F. Heydari, O. Bavi, M. Bayram   +3 more
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Perturbed functional fractional differential equation of Caputo-Hadamard order [PDF]

Mathematica Moravica
In this paper, we investigate the existence of solution and extremal solutions for an initial-value problem of perturbed functional fractional differential equations with Caputo-Hadamard derivative.
Hamani Samira
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Hyers-Ulam-Rassias Stability of some sequential neutral functional differential equations with Caputo-Hadamard fractional derivative [PDF]

Miskolc Mathematical Notes
In this article, we employ a fixed point theory to investigate the stability in the sense of Hyers-Ulam-Rassias of some sequential neutral functional differential equations with Caputo-Hadamard fractional derivative. We present two examples to illustrate
Abdellatif Ben Makhlouf, El-sayed El-hady   +1 more
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The general Caputo–Katugampola fractional derivative and numerical approach for solving the fractional differential equations

Alexandria Engineering Journal
In this manuscript, we present the general fractional derivative (FD) along with its fractional integral (FI), specifically the ψ-Caputo–Katugampola fractional derivative (ψ-CKFD).
Lakhlifa Sadek, Sahar Ahmed ldris, Fahd Jarad   +2 more
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Stability for Caputo–Hadamard Fractional Uncertain Differential Equation

Fractal and Fractional
This paper focuses on the Caputo-Hadamard fractional uncertain differential equations (CH-FUDEs) governed by Liu processes, which combine the Caputo–Hadamard fractional derivative with uncertain differential equations to describe dynamic systems ...
Shida Peng, Zhi Li, Jun Zhang, Yuncong Zhu, Liping Xu   +4 more
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Multiterm Impulsive Caputo–Hadamard Type Differential Equations of Fractional Variable Order [PDF]

Axioms, 2022
In this study, we deal with an impulsive boundary value problem (BVP) for differential equations of variable fractional order involving the Caputo–Hadamard fractional derivative.
Amar Benkerrouche, Mohammed Said Souid, Gani Stamov, Ivanka Stamova   +3 more
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Survey and new results on boundary-value problems of singular fractional differential equations with impulse effects

Electronic Journal of Differential Equations, 2016
Firstly we prove existence and uniqueness of solutions of Cauchy problems of linear fractional differential equations (LFDEs) with two variable coefficients involving Caputo fractional derivative, Riemann-Liouville derivative, Caputo type Hadamard ...
Yuji Liu
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Convergence analysis of positive solution for Caputo–Hadamard fractional differential equation [PDF]

Nonlinear Analysis
By deriving the expression of Green function and some of its special properties and establishing appropriate substitution and appropriate cone, the existence of unique iterative positive, error estimation, and convergence rate of approximate solution ...
Limin Guo, Cheng Li, Nan Qiao, Jingbo Zhao   +3 more
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Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses

Boundary Value Problems
In this manuscript, we investigated the existence, uniqueness, and Ulam–Hyers stability results of solutions to implicit Caputo–Hadamard fractional differential equations with noninstantaneous impulses and δ − d e r i v a t i v e $\delta -derivative ...
Mesfin Teshome Beyene, Mitiku Daba Firdi, Tamirat Temesgen Dufera   +2 more
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