Study of fractional order impulsive evolution problem under nonlocal Cauchy conditions
Kamal Shah, Atta Ullah, Juan J. Nieto
Abstract
In this research article, we discuss the important class of impulsive evolution problem of fractional order subject to nonlocal Cauchy condition. We studied the aforesaid problem via the use of coincidence degree theory of topology. The respective results are devoted to existence theory of solution. To support our main work, we also give some test problems.
Topics & Concepts
MathematicsCauchy problemCoincidenceInitial value problemCauchy distributionOrder (exchange)Class (philosophy)Applied mathematicsDegree (music)Cauchy's convergence testMathematical analysisCauchy boundary conditionBoundary value problemComputer sciencePhysicsMedicineAcousticsFinanceFree boundary problemEconomicsAlternative medicineArtificial intelligencePathologyNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Numerical Methods