Abstract
Abstract In this paper, we prove some existence results of solutions for a class of nonlocal initial value problem for nonlinear fractional hybrid implicit differential equations under generalized Hilfer fractional derivative. The result is based on a fixed point theorem on Banach algebras. Further, examples are provided to illustrate our results.
Highlights
In this paper, we prove some existence results of solutions for a class of nonlocal initial value problem for nonlinear fractional hybrid implicit di erential equations under generalized Hilfer fractional derivative
The result is based on a xed point theorem on Banach algebras
Fractional calculus is a branch of classical mathematics, which is concerned with the generalization of the integer order di erentiation and integration of a function to non-integer order, its is a solid and growing eld both in theory and in its applications [2,3,4, 15, 32]
Summary
Abdelkrim Salim, Mou ak Benchohra*, Jamal Eddine Lazreg, Juan J.
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