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Existence and Controllability of a Class of Non-autonomous Nonlinear Evolution Fractional Integrodifferential Equations with Delay

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Abstract

In this article, we investigate the existence of mild solutions and the controllability of a class of nonlinear fractional evolution integrodifferential equations in Banach spaces. To reach the conclusions, the Banach contraction mapping principle, the measure of noncompactness, the theory of resolvent operators, and the fixed point theorems are used. Finally, three instances are presented to show the efficacy of the proposed outcomes.

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Funding

Author Shruti Dubey acknowledges Science and Engineering Research Board, New Delhi, India for providing support through funded Project File No. MTR/2019/000437.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, Madras, Chennai, 600036, India

    Kamla Kant Mishra & Shruti Dubey

  2. Department of Mathematics and Computer Sciences Faculty of Arts and Sciences, TR-06530, Ankara, Turkey and Lebanese American University, Beirut, Lebanon

    Dumitru Baleanu

Authors
  1. Kamla Kant Mishra
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  2. Shruti Dubey
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  3. Dumitru Baleanu
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Contributions

KKM and SD contributed in conception and design of study. They also participated in the analysis and proofs of the study. Authors made substantial contribution in drafting the manuscript. SD and DB participated in revising the manuscript critically for important intellectual content. All authors read and approved the final manuscript.

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Correspondence to Shruti Dubey.

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Mishra, K.K., Dubey, S. & Baleanu, D. Existence and Controllability of a Class of Non-autonomous Nonlinear Evolution Fractional Integrodifferential Equations with Delay. Qual. Theory Dyn. Syst. 21, 165 (2022). https://doi.org/10.1007/s12346-022-00697-5

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