Existence of solutions of non-autonomous fractional differential equations with integral impulse condition
Ashish Kumar, Harsh V. S. Chauhan, C. Ravichandran, Kottakkaran Sooppy Nisar, Dumitru Bǎleanu
Abstract
Abstract In this paper, we investigate the existence of solution of non-autonomous fractional differential equations with integral impulse condition by the measure of non-compactness (MNC), fixed point theorems, and k -set contraction. The obtained results are verified via a supporting example.
Topics & Concepts
MathematicsOrdinary differential equationImpulse (physics)Mathematical analysisContraction principleContraction (grammar)Compact spacePartial differential equationIntegral equationDifferential equationFixed pointContraction mappingFractional calculusApplied mathematicsPhysicsInternal medicineMedicineQuantum mechanicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods