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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 This is me

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 (April2019), 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.