On the existence of solutions for a multi-singular pointwise defined fractional q-integro-differential equation
Shahram Rezapour, Mohammad Esmael Samei
Abstract
Abstract By using the Caputo type and the Riemann–Liouville type fractional q -derivative, we investigate the existence of solutions for a multi-term pointwise defined fractional q -integro-differential equation with some boundary value conditions. In fact, we give some results by considering different conditions and using some classical fixed point techniques and the Lebesgue dominated convergence theorem.
Topics & Concepts
MathematicsPointwiseLebesgue integrationMathematical analysisOrdinary differential equationFractional calculusType (biology)Boundary value problemDifferential equationPointwise convergencePartial differential equationBoundary valuesComputer scienceBiologyEcologyApproxOperating systemNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsFixed Point Theorems Analysis