Non-instantaneous impulsive fractional integro-differential equations with proportional fractional derivatives with respect to another function
DOI:
https://doi.org/10.24193/subbmath.2023.3.07Keywords:
Non-instantaneous impulses, proportional fractional derivatives, Leray-Schauder alternative.Abstract
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.
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