Malaysian Journal of Mathematical Sciences, December 2023, Vol. 17, No. 4
On a New Class of Impulsive $\eta$-Hilfer Fractional Volterra-Fredholm Integro-Differential Equations
Ismaael, F. M.
Corresponding Email: fawzimuttar62@gmail.com
Received date: 13 October 2023
Accepted date: 7 November 2023
Abstract:
This work addresses the idea of the uniqueness and existence results for a class of boundary value problems (BVPs) for implicit Volterra-Fredholm integro-differential equations (V-FIDEs) with fractional $\eta$-Hilfer nonlinear equations and multi-point fractional boundary non-instantaneous conditions. The conclusions are confirmed by the fixed point of Krasnoselskii's theorem and the Banach contraction principle. Finally, a concrete example is given to illustrate our main conclusions.
Keywords: fractional $\eta$-Hilfer derivative; V-FIDE; problem with boundaries; fixed point method
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