A derivative concept with respect to an arbitrary kernel and applications to fractional calculus-Reference-Cited by-同舟云学术

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A derivative concept with respect to an arbitrary kernel and applications to fractional calculus

Published:2018-10-18 Issue:1 Volume:42 Page:137-160
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Meth Appl Sci

Author:

Jleli Mohamed¹,Kirane Mokhtar²³^ORCID,Samet Bessem¹^ORCID

Affiliation:

1. Department of Mathematics, College of ScienceKing Saud University Riyadh Saudi Arabia

2. LaSIE, Faculté des Sciences et TechnologiesUniversité de La Rochelle La Rochelle France

3. NAAM Research Group, Department of Mathematics, Faculty of ScienceKing Abdulaziz University Jeddah Saudi Arabia

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.5329

Reference34 articles.

1. Mémoire sur le calcul des différentielles à indices quelconques;Liouville J;J École Polytech,1832

2. Ueber begrenzte Derivationen und deren Anwendung;Grünwald AK;Z Math Phys,1867

3. Theory of differentiation with an arbitrary index (Russian);Letnikov AV;Mat Sb,1868

4. Sur les dérivées et sur les différences des fonctions de variables réelles;Marchaud A;J Math Pures et Appl,1927

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2. Generalising the fractional calculus with Sonine kernels via conjugations;Journal of Computational and Applied Mathematics;2023-08

3. On univariate fractional calculus with general bivariate analytic kernels;Computational and Applied Mathematics;2023-06-24

4. On bivariate fractional calculus with general univariate analytic kernels;Chaos, Solitons & Fractals;2023-06

5. A Rigorous Analysis of Integro-Differential Operators with Non-Singular Kernels;Fractal and Fractional;2023-02-24

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