Results 181 to 190 of about 545,475 (201)

On Hadamard and Fej\'{e}r--Hadamard inequalities for Caputo $\small{k}$-fractional derivatives

2018
In this paper we will prove certain Hadamard and Fejer-Hadamard inequalities for the functions whose nth derivatives are convex by using Caputo k-fractional derivatives. These results have some relationship with inequalities for Caputo fractional derivatives.
Farid, Ghulam, Javed, Anum
openaire   +1 more source

A High Order Scheme for Fractional Differential Equations with the Caputo-Hadamard Derivative

Journal of Computational Mathematics
Summary: In this paper, we consider numerical solutions of the fractional diffusion equation with the \(\alpha\) order time fractional derivative defined in the Caputo-Hadamard sense. A high order time-stepping scheme is constructed, analyzed, and numerically validated.
Ye, Xingyang, Cao, Junying, Xu, Chuanju
openaire   +2 more sources

Hadamard fractional derivatives for a system of coupled implicit fractional pantograph differential equations

Nonlinear Analysis: Real World Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Palani, P., Prabu, D., Sivasundaram, Seenith   +2 more
openaire   +2 more sources

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

Fractional Calculus and Applied Analysis, 2023
openaire   +2 more sources

Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative

Mathematics, 2021
Abdellatif Ben Makhlouf, Abdulaziz Alsenafi, A M Nagy   +2 more
exaly  

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

Mathematical Methods in the Applied Sciences, 2023
Hassen Arfaoui
exaly  

Coupled fractional differential equations involving Caputo–Hadamard derivative with nonlocal boundary conditions

Mathematical Methods in the Applied Sciences, 2021
Ramesh Kumar Vats, Avadhesh Kumar
exaly  

Caputo–Hadamard fractional Halanay inequality

Applied Mathematics Letters, 2022
Hua-Cheng Zhou, Bin-Bin He
exaly  

Variable-order fractional derivative under Hadamard’s finite-part integral: Leibniz-type rule and its applications

Nonlinear Dynamics, 2022
Zhi-Yong Zhang
exaly  

Investigation of a Coupled System of Hilfer–Hadamard Fractional Differential Equations with Nonlocal Coupled Hadamard Fractional Integral Boundary Conditions

Fractal and Fractional, 2023
Bashir Ahmad, Shorog Aljoudi
exaly