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Existence and controllability of higher-order nonlinear fractional integrodifferential systems via resolvent operator
  • Abdul Haq,
  • N Sukavanam
Abdul Haq
IIT Roorkee

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N Sukavanam
Indian Institute of Technology Roorkee
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This work analyzes the existence of solution and approximate controllability for higher order non-linear fractional integro-differential systems with Riemann-Liouville derivatives in Banach spaces. Firstly, the definition of mild solution for the system is derived. Then a set of sufficient conditions for the existence of mild solution and approximate controllability of the system is obtained. The discussions are based on fixed point approach, and the theory of convolution and fractional resolvent. To illustrate the feasibility of developed theory, an example is given.
23 Oct 2021Submitted to Mathematical Methods in the Applied Sciences
24 Oct 2021Submission Checks Completed
24 Oct 2021Assigned to Editor
05 Nov 2021Reviewer(s) Assigned
12 Feb 2022Review(s) Completed, Editorial Evaluation Pending
12 Feb 2022Editorial Decision: Revise Major
16 Feb 20221st Revision Received
18 Feb 2022Submission Checks Completed
18 Feb 2022Assigned to Editor
19 Feb 2022Reviewer(s) Assigned
19 Feb 2022Review(s) Completed, Editorial Evaluation Pending
21 Feb 2022Editorial Decision: Accept