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ON IMPULSIVE SYMMETRIC $Psi$-CAPUTO FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
Fawzi Muttar Ismaael 경남대학교 수학교육과 2023 Nonlinear Functional Analysis and Applications Vol.28 No.3
We study the appropriate conditions for the findings of uniqueness and existence for a group of boundary value problems for impulsive $\Psi$-Caputo fractional nonlinear Volterra-Fredholm integro-differential equations (V-FIDEs) with symmetric boundary non-instantaneous conditions in this paper. The findings are based on the fixed point theorem of Krasnoselskii and the Banach contraction principle. Finally, the application is provided to validate our primary findings.
Fawzi Muttar Ismaael 경남대학교 수학교육과 2024 Nonlinear Functional Analysis and Applications Vol.29 No.1
In this paper, we investigate the suitable conditions for the existence results for a class of $\Im$-Hilfer fractional nonlinear Fredholm-Volterra models with new conditions. The findings are based on Banach contraction principle and Schauder's fixed point theorem. Also, the generalized Hyers-Ulam stability and generalized Hyers-Ulam-Rassias stability for solutions of the given problem are provided.
Fawzi Muttar Ismaael 경남대학교 수학교육과 2023 Nonlinear Functional Analysis and Applications Vol.28 No.1
In this paper, by means of the Schauder fixed point theorem and Arzela-Ascoli theorem, the existence and uniqueness of solutions for a class of not instantaneous impulsive problems of nonlinear fractional functional Volterra-Fredholm integro-differential equations are investigated. An example is given to illustrate the main results.