The main purpose of this paper is to conduct a complete study on analytical and numerical
solutions of a nonlinear differential equation arising in heat transfer with the conformable …

In this paper, the reduced differential transform method (RDTM) is successfully implemented
to obtain the analytical solution of the space‐time conformable fractional telegraph equation …

Along with the work of Abul-Ez et al.[37], we introduce the associated conformable fractional
Legendre polynomials (ACFLPs), from which the fractional differential equation of ACFLPs is …

In this manuscript, we address the resolution of conformable Gegenbauer differential
equations with an order of α, where α∈(0, 1). We demonstrate that our solution aligns …

The theory of Bessel functions is a rich subject due to its essential role in providing solutions
for differential equations associated with many applications. As fractional calculus has …

This paper presents a somewhat exhaustive study on the conformable fractional Gauss
hypergeometric function (CFGHF). We start by solving the conformable fractional Gauss …

Plant diseases can spread rapidly, leading to significant crop losses if not detected early. By
accurately identifying diseased plants, farmers can target treatment only to the affected …

In this article, we study properties of the solutions to periodic non-autonomous conformable
non-instantaneous impulsive differential equations. We use a conformable Cauchy matrix …

In today's digital environment. data security and privacy of our personal information are of
the utmost significance. We need secrecy. integrity. non-repudiation. and authentication for …

In this article we study a type of conformable non-instantaneous impulsive equation with
periodic effects. We find a Cauchy matrix that can provide solutions of linear and nonlinear …