The existence, uniqueness, and stability analyses of the generalized Caputo-type fractional boundary value problems
R. Poovarasan, Pushpendra Kumar, Kottakkaran Sooppy Nisar, V. Govindaraj
Abstract
<abstract><p>In this article, we derive some novel results of the existence, uniqueness, and stability of the solution of generalized Caputo-type fractional boundary value problems (FBVPs). The Banach contraction principle, along with necessary features of fixed point theory, is used to establish our results. An example is illustrated to justify the validity of the theoretical observations.</p></abstract>
Topics & Concepts
UniquenessMathematicsContraction principleBoundary value problemType (biology)Fixed-point theoremMathematical analysisStability (learning theory)Fractional calculusContraction mappingFixed pointContraction (grammar)Applied mathematicsPure mathematicsComputer scienceMachine learningMedicineEcologyBiologyInternal medicineNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Numerical Methods