Abstract
In this manuscript, we implement Bohnenblust–Karlin’s fixed point theorem to demonstrate the existence of mild solutions for a class of impulsive fractional integro-differential inclusions (IFIDI) with state-dependent delay (SDD) in Banach spaces. An example is provided to illustrate the obtained abstract results.
Highlights
The notion of fractional derivatives, as is long familiar, has its commencement in an inquiry postured amid a correspondence in the middle of Leibnitz and L’hospital
All models viewed regarding fractional differential equations (FDE) that may be existence of solutions, continuous dependence and parameters are available in the concept of Fractional differential inclusions (FDI)—considering the fact that FDI
We have studied the existence results for impulsive fractional integro-differential systems with state-dependent delay (SDD) conditions in a Banach space
Summary
The notion of fractional derivatives, as is long familiar, has its commencement in an inquiry postured amid a correspondence in the middle of Leibnitz and L’hospital. It has been demonstrated that the differential designs including derivatives of fractional order emerge in numerous technological innovations and scientific disciplines as the statistical modeling of frameworks and procedures in numerous fields—case in point: physical science, chemical industry, aerodynamics, electrodynamics of complex medium, etc Such as some uses and latest outcomes, think about the treatise of Abbas et al [1], Baleanu et al [2], Podlubny [3], Diethelm [4], Kilbas et al [5], and Tarasov [6], and the papers [7,8,9,10,11,12,13,14,15,16,17,18,19,20,21], and the references cited therein. In this manuscript, we contemplate this fascinating model
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