Caputo-type modification of the Hadamard fractional derivatives-Reference-Cited by-同舟云学术

Caputo-type modification of the Hadamard fractional derivatives

Published:2012-08-10 Issue:1 Volume:2012 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Jarad Fahd,Abdeljawad Thabet,Baleanu Dumitru

Abstract

Abstract Generalization of fractional differential operators was subjected to an intense debate in the last few years in order to contribute to a deep understanding of the behavior of complex systems with memory effect. In this article, a Caputo-type modification of Hadamard fractional derivatives is introduced. The properties of the modified derivatives are studied.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1687-1847-2012-142.pdf

Reference17 articles.

1. Kilbas AA, Srivastava HH, Trujillo JJ: Theory and Applications of Fractional Differential Equations. Elsevier, Amsterdam; 2006.

2. Samko SG, Kilbas AA, Marichev OI: Fractional Integrals and Derivatives - Theory and Applications. Gordon & Breach, Langhorne; 1993.

3. Hadamarad J: Essai sur l’etude des fonctions donnes par leur developpment de Taylor. J. Pure Appl. Math. 1892, 4(8):101–186.

4. Podlubny I: Fractional Differential Equations. Academic Press, San Diego; 1999.

5. Magin RL: Fractional Calculus in Bioengineering. Begell House Publishers, Redding; 2006.

Cited by 314 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fractional relaxation model with general memory effects and stability analysis;Chinese Journal of Physics;2024-12

2. Convolution quadrature for Hadamard fractional calculus and correction methods for the subdiffusion with singular source terms;Communications in Nonlinear Science and Numerical Simulation;2024-11

3. Jacobi polynomials method for a coupled system of Hadamard fractional Klein–Gordon–Schrödinger equations;Alexandria Engineering Journal;2024-11

4. Introducing novel Θ-fractional operators: Advances in fractional calculus;Journal of King Saud University - Science;2024-10

5. A new scheme for the solution of the nonlinear Caputo–Hadamard fractional differential equations;Alexandria Engineering Journal;2024-10