Multiple solutions of nonlinear fractional impulsive integro-differential equations with nonlinear boundary conditions

Abstract

In this paper, we study the existence of multiple solutions of fractional impulsive integrodifferential equations with nonlinear boundary conditions. By applying the Amann theorem and the method of upper and lower solutions, we obtain some new results on the multiple solutions.

Sequential Caputo–Hadamard Fractional Differential Equations with Boundary Conditions in Banach Spaces

“…The field of FDEs is a new branch of mathematics that is a valuable tool in modeling many phenomena in various fields such as cancer treatment, medicine, and signal processing, etc. ; we refer to [2,3,[8][9][10][11][12][13][14][15]. The most important definitions of fractional derivatives (FD) and fractional integral derivatives are stated as follows:…”

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