A generalized contraction mapping applied in solving modified implicit $$\phi $$-Hilfer pantograph fractional differential equations-Reference-Cited by-同舟云学术

A generalized contraction mapping applied in solving modified implicit $$\phi $$-Hilfer pantograph fractional differential equations

Published:2022-10-06 Issue:2 Volume:31 Page:1143-1173
ISSN:0971-3611
Container-title:The Journal of Analysis
language:en
Short-container-title:J Anal

Author:

Okeke Godwin Amechi^ORCID,Francis Daniel^ORCID,Nse Celestin Akwumbuom

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s41478-022-00500-3.pdf

Reference47 articles.

1. Adiguzel, R.S., U. Aksoy, E. Karapinar, and I.M. Erhan. 2020. On the solution of a boundary value problem associated with a fractional differential equation. Mathematical Methods in the Applied Sciences. https://doi.org/10.1002/mma.6652.

2. Adiguzel, R.S., U. Aksoy, E. Karapinar, and I.M. Erhan. 2021. Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions. RACSAM 115: 155. https://doi.org/10.1007/s13398-021-01095-3.

3. Adiguzel, R.S., U. Aksoy, E. Karapinar, and I.M. Erhan. 2021. On the solutions of fractional differential equations via Geraghty type hybrid contractions. Journal of Computational and Applied Mathematics 20 (2): 313–333.

4. Afshari, H., H.R. Marasi, and J. Alzabut. 2021. Applications of new contraction mappings on existence and uniqueness results for implicit $$\phi $$-Hilfer fractional pantograph differential equations. Journal of Inequalities and Applications 2021: 185. https://doi.org/10.1186/s13660-021-02711-x.

5. Afshari, H., H. Hosseinpour, and H.R. Marasi. 2021. Application of some new contractions for existence and uniqueness of differential equations involving Caputo-Fabrizio derivative. Advances in Difference Equations 2021: 321. https://doi.org/10.1186/s13662-021-03476-9.

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