On Existence and Uniqueness of Some Fractional Order Integro-Differential Equation

Year 2023, Volume: 16 Issue: 2, 297 - 310, 31.08.2023

Lale Cona , Esmahan Bal

https://doi.org/10.18185/erzifbed.1220243

Abstract

In this study, a sufficient condition for the existence and uniqueness of some fractional order Integral-Differential equations is obtained. Therefore, the fixed point method is used to solve the differential equation problem involving nonlinear degree integrals. In addition, the results found is supported by examples.

Keywords

Initial value problem, Fractional order Integro-Differential equation, Riemann-Liouville derivative, Riemann-Liouville integral, Fixed point.

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