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

Authors : Lale CONA, Esmahan BAL

Pages : 297-310

Doi:10.18185/erzifbed.1220243

View : 117 | Download : 97

Publication Date : 2023-08-31

Article Type : Research Paper

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