Results 1 to 10 of about 13,452 (220)

Lyapunov-type inequalities for differential equation with Caputo–Hadamard fractional derivative under multipoint boundary conditions [PDF]

Journal of Inequalities and Applications, 2021
In this work, we establish Lyapunov-type inequalities for the fractional boundary value problems with Caputo–Hadamard fractional derivative subject to multipoint and integral boundary conditions. As far as we know, there is no literature that has studied
Youyu Wang, Yuhan Wu, Zheng Cao
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Hyers-Ulam-Rassias Stability of some sequential neutral functional differential equations with Caputo-Hadamard fractional derivative

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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Logarithmic Bernstein functions for fractional Rosenau–Hyman equation with the Caputo–Hadamard derivative

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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A second–order approximation scheme for Caputo–Hadamard derivative and its application in fractional Allen–Cahn equation

Communications in Analysis and Mechanics
In light of the advantages of the Caputo–Hadamard fractional derivative in characterizing ultra-slow diffusion phenomena, this paper proposes a second-order approximation scheme to approximate it.
Luhan Sun, Zhen Wang, Yabing Wei
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Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay. [PDF]

Fract Calc Appl Anal, 2022
This paper handles with the Hadamard and the Caputo-Hadamard fractional derivative and stability of related systems without and with delay. Firstly, the derivative inequalities are obtained, which is indispensable in applying the theorems derived in this
He BB, Zhou HC, Kou CH.
europepmc   +2 more sources

Existence of Solutions for a Coupled System of p-Laplacian Caputo–Hadamard Fractional Sturm–Liouville–Langevin Equations with Antiperiodic Boundary Conditions

Journal of Mathematics, 2022
Fractional Sturm–Liouville and Langevin equations have recently attracted much attention. In this paper, we investigate a coupled system of fractional Sturm–Liouville–Langevin equations with antiperiodic boundary conditions in the framework of Caputo ...
Jinbo Ni, Jifeng Zhang, Wei Zhang
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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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Convergence analysis of positive solution for Caputo–Hadamard fractional differential equation

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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Caputo-Hadamard fractional differential equation with three-point boundary conditions in Banach spaces

AIMS Mathematics, 2020
We introduce a more general class of fractional-order boundary value problems involving the Caputo-Hadamard fractional derivative. Existence results for the given problem are established by applying the Mönch’s fixed point theorem and the technique of ...
Abdelatif Boutiara, Kaddour Guerbati, Maamar Benbachir   +2 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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