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Authors: MOHAMED I. ABBAS.
Received 23 August 2020; Accepted 27 September 2020. Published Online: 2023-09-30
Published Print: 2023-09-30
pp. 543-562
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This paper concerns the existence and uniqueness of solutions of non-instantaneous impulsive fractional integro-differential equations with proportional fractional derivatives with respect to another function. By the aid of the nonlinear alternative of Leray-Schauder type and the Banach contraction mapping principle, the main results are demonstrated. Two examples are inserted to illustrate the applicability of the theoretical results.
Mathematics Subject Classification (2010): 34K37, 34A37, 47H10.
Keywords: Non-instantaneous impulses, proportional fractional derivatives, Leray-Schauder alternative.
