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Fractional Differential Inclusions with Non Instantaneous Impulses in Banach Spaces

Year 2019, Volume: 2 Issue: 1, 36 - 47, 30.04.2019

Mouffak Benchohra , Mehdi Slimane

Abstract

This paper is devoted to study the existence of solutions for a class of fractional differential inclusions with non instantaneous impulses involving the Caputo fractional derivative in a Banach space. The arguments are based upon M\"{o}nch's fixed point theorem and the technique of measures of noncompactness.

Keywords

Inclusions impulses Caputo fractional derivative measure of noncompactness fixed point

References

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Year 2019, Volume: 2 Issue: 1, 36 - 47, 30.04.2019

Mouffak Benchohra , Mehdi Slimane

Abstract

References

  • x
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Mouffak Benchohra

Mehdi Slimane

Publication Date April 30, 2019
Published in Issue Year 2019 Volume: 2 Issue: 1

Cite

APA Benchohra, M., & Slimane, M. (2019). Fractional Differential Inclusions with Non Instantaneous Impulses in Banach Spaces. Results in Nonlinear Analysis, 2(1), 36-47.
AMA Benchohra M, Slimane M. Fractional Differential Inclusions with Non Instantaneous Impulses in Banach Spaces. RNA. April 2019;2(1):36-47.
Chicago Benchohra, Mouffak, and Mehdi Slimane. “Fractional Differential Inclusions With Non Instantaneous Impulses in Banach Spaces”. Results in Nonlinear Analysis 2, no. 1 (April 2019): 36-47.
EndNote Benchohra M, Slimane M (April 1, 2019) Fractional Differential Inclusions with Non Instantaneous Impulses in Banach Spaces. Results in Nonlinear Analysis 2 1 36–47.
IEEE M. Benchohra and M. Slimane, “Fractional Differential Inclusions with Non Instantaneous Impulses in Banach Spaces”, RNA, vol. 2, no. 1, pp. 36–47, 2019.
ISNAD Benchohra, Mouffak - Slimane, Mehdi. “Fractional Differential Inclusions With Non Instantaneous Impulses in Banach Spaces”. Results in Nonlinear Analysis 2/1 (April 2019), 36-47.
JAMA Benchohra M, Slimane M. Fractional Differential Inclusions with Non Instantaneous Impulses in Banach Spaces. RNA. 2019;2:36–47.
MLA Benchohra, Mouffak and Mehdi Slimane. “Fractional Differential Inclusions With Non Instantaneous Impulses in Banach Spaces”. Results in Nonlinear Analysis, vol. 2, no. 1, 2019, pp. 36-47.
Vancouver Benchohra M, Slimane M. Fractional Differential Inclusions with Non Instantaneous Impulses in Banach Spaces. RNA. 2019;2(1):36-47.