Since an interesting functional by PL Chebyshev was presented in the year 1882, many
results, which are called Chebyshev-type inequalities, have been established. Some of …

The present article aims to present a comprehensive study on a nonlinear time-fractional
model involving the Caputo–Fabrizio (CF) derivative. More explicitly, a new (2+ 1) (2+1) …

The present paper investigates and develops a new technique based on the Chebyshev
cardinal functions for solving fractional optimal control problems of a spring-mass …

This article demonstrates some properties of the Riemann-Liouville (RL) fractional integral
operator like acting, continuity, and boundedness in Orlicz spaces Lφ. We apply these …

A mathematical analysis is performed for a system consisting of two coupled Cahn-Hilliard
equations. These equations incorporate a diffusional mobility that depends on …

The presented article studies the existence results for the n-product of fractional nonlinear
equations in Orlicz spaces L φ. As a result of employing various types of growth conditions …

Objectives: To investigate the existence and uniqueness of a solution to the non-local
Cauchy problem of order 0< 𝛼< 1 using the Atangana Baleanu (AB) fractional derivative …

The main objective of this paper is to introduce a further extension of the extended Caputo
fractional derivative operator and establish the extension of an extended fractional derivative …

Finding the solutions of nonlinear operator equations has been a subject of research for
decades but has recently attracted much attention. This paper studies the convergence of a …

Objectives: The core objective of this paper is to introduce the explicit Modified Laguerre
polynomial 𝐿𝑎, 𝑏, 𝑐, 𝑛 (𝑡) and obtain a new general integral transform of Modified …