Nonlocal Initial Value Problem for Hybrid Generalized Hilfer-type Fractional Implicit Differential Equations

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.

Keywords

• generalized hilfer fractional derivative
• initial value problem
• nonlocal
• existence
• hybrid fractional differential equations
• implicit differential equations
• fixed point
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