Caputo–hadamard fractional derivative

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Boundary value problem for Caputo-Hadamard fractional differential equations [PDF]

Surveys in Mathematics and its Applications, 2017
The aim of this work is to study the existence and uniqueness solutions for boundary value problem of nonlinear fractional differential equations with Caputo-Hadamard derivative in bounded domain.
Yacine Arioua , Nouredine Benhamidouche
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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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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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New Fractional Hermite–Hadamard-Type Inequalities for Caputo Derivative and MET-(p, s)-Convex Functions with Applications

Fractal and Fractional
This article investigates fractional Hermite–Hadamard integral inequalities through the framework of Caputo fractional derivatives and MET-(p,s)-convex functions.
Muhammad Sajid Zahoor, Amjad Hussain, Yuanheng Wang +2 more
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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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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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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 +4 more
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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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Discrete Legendre polynomials method to solve the coupled nonlinear Caputo–Hadamard fractional Ginzburg–Landau equations

Results in Physics
This paper employs the Caputo–Hadamard derivative to create the coupled nonlinear fractional Ginzburg–Landau equations. An orthonormal version of the discrete Legendre polynomials is utilized to generate a numerical strategy for this system.
M.H. Heydari, D. Baleanu, M. Bayram
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Boundary value problems for Caputo-Hadamard fractional differential inclusions in Banach spaces [PDF]

, 2022
summary:In this article, we study the existence of solutions in a Banach space of boundary value problems for Caputo-Hadamard fractional differential inclusions of order $r \in (0,1]$
Hammou, Amouria, Henderson, Johnny, Hamani, Samira +2 more
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caputo–hadamard derivative
mathematics