Existence of solutions for an infinite system of Hilfer fractional boundary value problems in tempered sequence spaces
Inzamamul Haque, Javid Ali, M. Mursaleen
Abstract
This article aims to study the existence of the solutions to the infinite system of Hilfer fractional differential equations in tempered sequence spaces. We look for a solution in Banach tempered sequence spaces that is more abstract than classical sequence space. Our approach to studying solvability is using the Meir-Keeler condensing operator. Finally, we illustrate our main results through some numerical examples.
Topics & Concepts
Banach spaceSequence (biology)MathematicsOperator (biology)Sequence spaceBoundary value problemValue (mathematics)Pure mathematicsSpace (punctuation)Applied mathematicsMathematical analysisComputer scienceStatisticsOperating systemBiologyGeneGeneticsChemistryBiochemistryRepressorTranscription factorNonlinear Differential Equations AnalysisFixed Point Theorems AnalysisFractional Differential Equations Solutions