Abstract The multinomial Mittag-Leffler function plays a crucial role in the study of multi-term
time-fractional evolution equations. In this work we establish basic properties of the …

Abstract Fractional Dzherbashian-Nersesian operator is considered and three famous
fractional order derivatives named after Riemann-Liouville, Caputo and Hilfer are shown to …

This paper focuses on considering two inverse source problems (ISPs) for a multi-term time-
fractional evolution equation with an involution term, interpolating the heat and wave …

We consider two problems of recovering the source terms along with heat concentration for
a time fractional heat equation involving the so-called m th level fractional derivative …

The purpose of this research is to employ a method involving Chelyshkov wavelets to
construct a numerical solution to the inverse problem of determining the right-hand side …

The inverse problem of recovering a source term along with diffusion concentration for a
generalized diffusion equation has been considered. The so-called 2nd level fractional …

Initial boundary value problems for a multi-term time fractional diffusion equation with
generalized fractional derivatives in t Page 1 http://www.aimspress.com/journal/Math AIMS …

We consider an inverse problem for diffusion equation involving fractional Laplacian
operator in space and Hilfer fractional derivatives in time with Dirichlet zero boundary …

A diffusion-wave equation with multi-term Hilfer fractional derivatives (HFDs) in time and
ultra-hyperbolic operator (UHO) in space has been considered. Fundamental solution of the …

Until now, little investigation has been done to examine the existence and uniqueness of
solutions for fractional differential equations on star graphs. In the published articles on the …