In this paper, we introduce the (k, s) -fractional integral and differential operators involving k-Mittag-Leffler function Ek,ρ,βδ(z) as its kernel. Also, we establish various properties of these operators. Further, we ...

The search for exact solutions of nonlinear evolution models with different wave structures has achieved significant attention in recent decades. The present paper studies a nonlinear (2 + 1)-dimensional evolution model ...

The aim of study is to investigate the Hirota equation which has a significant role in applied sciences, like maritime, coastal engineering, ocean, and the main source of the environmental action due to energy transportation ...

We have applied the method of dualization to construct the coset realization of the bosonic sector of the script N = 2, D = 6 supergravity which is coupled to a tensor multiplet. The bosonic field equations are regained ...

In this paper, novel systems of fractional differential equations involving a new generalized Caputo fractional derivative were proposed. The complex dynamic behavior of these systems was studied by numerical simulation. ...

This paper deals with the existence and uniqueness of the mild solution of the fractional integro-differential equations with non-instantaneous impulses and state-dependent delay. Our arguments are based on the fixed point ...

In this article, we investigate sufficient conditions for the existence, uniqueness and Ulam-Hyers (UH) stability of solutions to a new system of nonlinear ABR fractional derivative of order 1 < ϱ ≤ 2 subjected to multi-point ...

This work addresses several novel classes of convex function involving arbitrary non-negative function, which is known as approximately generalized (ψ, ?)-convex and approximately ψ-quasiconvex function, with respect to ...

This paper deals with studying monotonicity analysis for discrete fractional operators with Mittag-Leffler in kernel. The ν-monotonicity definitions, namely ν-(strictly) increasing and ν-(strictly) decreasing, are presented ...

The main idea of this study is to examine the dynamics of the viral disease, hepatitis C. To this end, the steady states of the hepatitis C virus model are described to investigate the local as well as global stability. ...