Existence and approximate controllability of Riemann-Liouville fractional integrodifferential systems with damping

Abdul Haq and N. Sukavanam

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

Abstract: This article is concerned with Riemann-Liouville fractional semilinear integrodifferential systems with damping in Banach spaces. First we prove the existence of mild solutions of the system using fixed point approach, then we establish new sufficient conditions for the approximate controllability of the system by means of iterative and approximate technique. To obtain our results, we use the concept of Riemann-Liouville fractional (ϑ, φ, λ) resolvent, where 0 < φ < ϑ ≤ 1 and λ is a real number. Finally, an example is provided for the illustration of the obtained results.

Keywords: Riemann-Liouville derivatives; Fixed point; Mild solutions; Approximate controllability (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920304409

DOI: 10.1016/j.chaos.2020.110043

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