Reliable methods to look for analytical and numerical solutions of a nonlinear differential equation arising in heat transfer with the conformable derivative
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 …
solutions of a nonlinear differential equation arising in heat transfer with the conformable …
Analytical Solution of One‐Dimensional Nonlinear Conformable Fractional Telegraph Equation by Reduced Differential Transform Method
AT Deresse - Advances in Mathematical Physics, 2022 - Wiley Online Library
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 …
to obtain the analytical solution of the space‐time conformable fractional telegraph equation …
Associated conformable fractional legendre polynomials
H Shihab, TY Al-khayat - Journal of Physics: Conference Series, 2021 - iopscience.iop.org
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 …
Legendre polynomials (ACFLPs), from which the fractional differential equation of ACFLPs is …
Solving conformable Gegenbauer differential equation and exploring its generating function
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 …
equations with an order of α, where α∈(0, 1). We demonstrate that our solution aligns …
Further developments of Bessel functions via conformable calculus with applications
M Abul-Ez, M Zayed, A Youssef - Journal of Function Spaces, 2021 - Wiley Online Library
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 …
for differential equations associated with many applications. As fractional calculus has …
Further study on the conformable fractional Gauss hypergeometric function
M Abul-Ez, M Zayed, A Youssef - arXiv preprint arXiv:2009.12242, 2020 - arxiv.org
This paper presents a somewhat exhaustive study on the conformable fractional Gauss
hypergeometric function (CFGHF). We start by solving the conformable fractional Gauss …
hypergeometric function (CFGHF). We start by solving the conformable fractional Gauss …
[HTML][HTML] Classification of tomato leaf images for detection of plant disease using conformable polynomials image features
R Ala'a, RW Ibrahim - MethodsX, 2024 - Elsevier
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 …
accurately identifying diseased plants, farmers can target treatment only to the affected …
Properties of the solutions to periodic conformable non-autonomous non-instantaneous impulsive differential equations
Y Ding, K Liu - Electronic Journal of Differential Equations, 2024 - ejde-ojs-txstate.tdl.org
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 …
non-instantaneous impulsive differential equations. We use a conformable Cauchy matrix …
A new encryption scheme based on Legendre's transform.
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 …
the utmost significance. We need secrecy. integrity. non-repudiation. and authentication for …
Periodic solutions for conformable type non-instantaneous impulsive differential equations
Y Ding, J Wang - Electronic Journal of Differential Equations, 2021 - ejde-ojs-txstate.tdl.org
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 …
periodic effects. We find a Cauchy matrix that can provide solutions of linear and nonlinear …