Results on the existence and controllability of fractional integro-differential system of order 1 < r < 2 via measure of noncompactness

M. Mohan Raja, V. Vijayakumar and R. Udhayakumar

Chaos, Solitons & Fractals, 2020, vol. 139, issue C

Abstract: This manuscript is mainly focusing on the existence and controllability of fractional integro-differential system of order 1 < r < 2 with infinite delay. Our article’s principal findings proved based on the theoretical concepts related to the fractional calculus and the measure of noncompactness. Firstly, we prove the existence of mild solution for the fractional evolution system and continue to discuss the system’s exact controllability. Then, we extend our results to the concept of nonlocal conditions. Lastly, we provide theoretical and practical applications to assist in the effectiveness of the discussion.

Keywords: Existence; Controllability; Fractional derivative; Mainardi’S Wright-type function; Mild solutions; Integro-differential equations (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920306950

DOI: 10.1016/j.chaos.2020.110299

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