To investigate a class of multi-singular pointwise defined fractional $ q $–integro-differential equation with applications
Mohammad Esmael Samei, Lotfollah Karimi, Mohammed K. A. Kaabar, Jabalia Camp, United Nations Relief and Works Agency (UNRWA), Palestinian Refugee Camp, Gaza Strip Jabalya, Palestine
Abstract
<abstract><p>In the research work, we discuss a multi-singular pointwise defined fractional $ q $–integro-differential equation under some boundary conditions via the Riemann-Liouville $ q $–integral and Caputo fractional $ q $–derivatives. New existence results rely on the $ \alpha $-admissible map and fixed point theorem for $ \alpha $-$ \mathtt{ψ} $-contraction map. At the end, we present an example with application and some algorithms to illustrate the primary effects.</p></abstract>
Topics & Concepts
PointwiseMathematicsFixed-point theoremMathematical analysisIntegro-differential equationFractional calculusDifferential equationPure mathematicsClass (philosophy)First-order partial differential equationComputer scienceArtificial intelligenceFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisFixed Point Theorems Analysis