Mohamed Adel

Weak solutions for a generalized Katugampola fractional Langevin inclusion with boundary condition

We investigate weak solutions of a fractional Langevin inclusion subject to a nonlocal boundary condition and involving the generalized Katugampola-Caputo derivative. The problem is posed in a real Banach space and the multivalued nonlinearity is treated through Pettis-integrable...

A Spectral Tau Algorithm Using Shifted Convolved Fibonacci Polynomials for Singular Functional Models

In this paper, for some second-order singular functional differential equations (SOSFDEs), a tau-type spectral technique is built using non-origin-symmetric polynomials called shifted convolved Fibonacci polynomials as the approximation basis. Derivative formulae, integral identi...