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مقالات فارسیISIکنفرانسهاژورنالها

On Fractional Differential Equations with Riesz-Caputo Derivative and Non-Instantaneous Impulses

Publish place: Sahand Communications in Mathematical Analysis، Vol: 20، Issue: 3
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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لینک ثابت به این Paper:
https://civilica.com/doc/1804400

شناسه ملی سند علمی:

JR_SCMA-20-3_008

تاریخ نمایه سازی: 9 آبان 1402

Abstract:

This article deals with the existence, uniqueness and Ulam type stability results for a class of boundary value problems for fractional differential equations with Riesz-Caputo fractional derivative. The results are based on Banach contraction principle and Krasnoselskii's fixed point theorem. An illustrative example is given to validate our main results.

Keywords:

Riesz-Caputo fractional derivative , existence , Measure of noncompactness , Fixed point , Ulam stability , Non-instantaneous impulses

Authors

Wafaa Rahou

Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box ۸۹ Sidi Bel Abbes ۲۲۰۰۰, Algeria.

Abdelkrim Salim

Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box ۸۹ Sidi Bel Abbes ۲۲۰۰۰, Algeria and Faculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box ۱۵۱ Chlef ۰۲۰۰۰, Algeria.

Jamal Larzeg

Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box ۸۹ Sidi Bel Abbes ۲۲۰۰۰, Algeria.

Mouffak Benchohra

Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box ۸۹ Sidi Bel Abbes ۲۲۰۰۰, Algeria.

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