Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations


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Authors

  • Abdelouaheb Ardjouni
  • Ahcene Djoudi

Keywords:

Implicit fractional differential equations Caputo-Hadamard fractional derivatives Fixed point theorems Existence Uniqueness..

Abstract

In this paper, we use the contraction mapping principle to obtain the existence, interval of existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations. We also use the generalization of Gronwall’s inequality to show the estimate of the solutions.

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Published

2022-11-07

How to Cite

Abdelouaheb Ardjouni, & Ahcene Djoudi. (2022). Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations. Results in Nonlinear Analysis, 2(3), 136–142. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/31

Issue

Vol. 2 No. 3 (2019): volume 2 issue 3

Section

Articles

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Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.