Dergiler / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2023 / Cilt: 16 Sayı: 2

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

Lale CONA, Esmahan BAL

Dergi: Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Sayı: 2023 · Cilt: 16 Sayı: 2
Sayfa: 297–310
DOI: —

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.

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

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