We consider anomalous stochastic processes based on the renewal continuous time
random walk model with different forms for the probability density of waiting times between …

The present article deals with certain new and interesting features of fractional blood alcohol
model associated with powerful Hilfer fractional operator. The solution of the model depends …

The paper is concerned with existence of mild solution of evolution equation with Hilfer
fractional derivative which generalized the famous Riemann–Liouville fractional derivative …

In this paper, a new fractional operator of variable order with the use of the monotonic
increasing function is proposed in sense of Caputo type. The properties in term of the …

In this work, the existence of Hilfer fractional integro-differential equations with nonlocal
conditions are discussed. To obtain such result, we use M o¨ nch fixed point theorem and the …

We present a generalization of Hilfer derivatives in which Riemann–Liouville integrals are
replaced by more general Prabhakar integrals. We analyze and discuss its properties …

Some physical problems found in nature can follow the power law; others can follow the
Mittag-Leffler law and others the exponential decay law. On the other hand, one can observe …

In this paper, we consider a non-self-adjoint boundary value problem for a fourth-order
differential equation of mixed type with Hilfer operator of fractional integro-differentiation in a …

We study distributed-order time fractional diffusion equations characterized by multifractal
memory kernels, in contrast to the simple power-law kernel of common time fractional …

In this paper, we consider a class of evolution equations with Hilfer fractional derivative. By
employing the fixed point theorem and the noncompact measure method, we establish a …