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Authors: VINOD V. KHARAT, SHIVAJI TATE, ANAND RAJSHEKHAR RESHIMKAR.
Received 17 July 2020; Accepted 14 September 2020. Published Online: 2023-09-30
Published Print: 2023-09-30
pp. 489-506
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In this paper, we study the existence of solutions of a nonlocal Cauchy problem for nonlinear fractional integro-differential equations involving generalized Katugampola fractional derivative. By using fixed point theorems, the results are obtained in weighted space of continuous functions. In the last, results are illustrated with suitable examples.
Mathematics Subject Classification (2010): 26A33, 34A08, 34A12, 47H10.
Keywords: Fractional derivative, fractional integration, fractional integro-differential equation, existence of solution, fixed point theorem.
