The main purpose of this paper is to introduce a class of new extended forms of the beta
function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by …

This paper concerns the investigation of controllability and Hyers-Ulam stability of initial
value problems for fractional differential equations via generalized proportional-Caputo …

In this paper, we introduce the local and global mixed Morrey-type spaces and show some
properties. Besides, we investigate the boundedness of the fractional integral operators I α …

Nonexistence of global solutions of a delayed wave equation with variable-exponents Page 1
Miskolc Mathematical Notes HU e-ISSN 1787-2413 Vol. 22 (2021), No. 2, pp. 841–859 DOI …

This paper concerns the existence and uniqueness of solutions of non‐instantaneous
impulsive fractional integro‐differential equations with proportional fractional derivatives with …

In this work, we consider a system of two wave equations coupled by velocities in a one-
dimensional space, with one boundary fractional dam**. First, we show that the system is …

In this paper, we investigate the existence theorem of entropy solutions for nonlinear elliptic
problem of the type− div⁡(a (x, u,∇ u)+ Φ (x, u))+ g (x, u,∇ u)= μ in Ω, in the setting of …

On martingale Morrey spaces we give necessary and sufficient conditions for the
boundedness and compactness of the commutator generated by the fractional integral and a …

This article is concerned with the study of the unique solvability of a timenonlocal inverse
boundary value problem for second-order hyperbolic equation with an integral …

This article is devoted to presenting a general interpolation result on mixed-norm function
spaces generated by quasi-Banach lattices. Under certain conditions, the authors show that …