Fueled by many applications in random processes, imaging science, geophysics, etc., fractional Laplacians have recently received significant attention. The key driving force behind the success of t...

Abstract In this article, we debate the existence of solutions for a nonlinear Hilfer fractional differential inclusion with nonlocal Erdélyi–Kober integral boundary conditions (FIBC). Both cases convex- and nonconvex-valued right-hand side are considered. Our obtained results new in framework derivative FIBC via fixed point theorems (FPTs) set-valued analysis. Some pertinent examples demonstra...

In this paper, a modification of finite integration method (FIM) is combined with the radial basis function (RBF) method to solve a time-fractional convection-diffusion equation with variable coefficients. The FIM transforms partial differential equations into integral equations and this creates some constants of integration. Unlike the usual FIM, the proposed method computes constants of integ...

In this paper, we provide some Qi type inequalities using a fractional q-integral.

The aim of this paper is to study the existence of solutions for a class of q-integral equations of fractional orders. The techniques in this work are based on the measure of non-compactness argument and a generalized version of Darbo’s theorem. An example is presented to illustrate the obtained result.