Existence and uniqueness of solutions for fractional nonlinear hybrid impulsive system
Vidushi Gupta, Fahd Jarad, N. Valliammal, C. Ravichandran, Kottakkaran Sooppy Nisar
Abstract
The investigation of existence and uniqueness of impulsive dynamical fractional systems with quadratic perturbation of second type subject to nonlocal boundary conditions is presented and proved. By employing the fractional theory, Banach contraction technique, and Krasnoselskii's fixed point theorem, we derived some sufficient conditions to ensure the existence of our system. An example is offered to enhance the applicability of the results obtained.
Topics & Concepts
MathematicsUniquenessFixed-point theoremNonlinear systemMathematical analysisBanach fixed-point theoremContraction principleQuadratic equationPicard–Lindelöf theoremContraction (grammar)Contraction mappingFractional calculusBoundary value problemApplied mathematicsGeometryQuantum mechanicsMedicineInternal medicinePhysicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods