On the existence of solutions for a multi-singular pointwise defined fractional q-integro-differential equation

By Sh. Rezapour, Mohammad Esmael Samei. Boundary Value Problems, 2020

58 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/cbd12581cbad6dcd41c689cefd8269fc5af94976