[HTML][HTML] On the stability and numerical scheme of fractional differential equations with application to biology
K Hattaf - Computation, 2022 - mdpi.com
The fractional differential equations involving different types of fractional derivatives are
currently used in many fields of science and engineering. Therefore, the first purpose of this …
currently used in many fields of science and engineering. Therefore, the first purpose of this …
[HTML][HTML] A vector series solution for a class of hyperbolic system of Caputo time-fractional partial differential equations with variable coefficients
A El-Ajou, Z Al-Zhour - Frontiers in Physics, 2021 - frontiersin.org
In this paper, we introduce a series solution to a class of hyperbolic system of time-fractional
partial differential equations with variable coefficients. The fractional derivative has been …
partial differential equations with variable coefficients. The fractional derivative has been …
[HTML][HTML] Fractional view analysis of Emden-Fowler equations with the help of analytical method
This work aims at a new semi-analytical technique called the Adomian decomposition
method for the analysis of time-fractional Emden–Fowler equations. The Laplace …
method for the analysis of time-fractional Emden–Fowler equations. The Laplace …
Numerical solution of a kind of fractional parabolic equations via two difference schemes
A Atangana, D Baleanu - Abstract and Applied Analysis, 2013 - Wiley Online Library
A kind of parabolic equation was extended to the concept of fractional calculus. The
resulting equation is, however, difficult to handle analytically. Therefore, we presented the …
resulting equation is, however, difficult to handle analytically. Therefore, we presented the …
A note on the fractional Schrödinger differential equations
A Ashyralyev, B Hicdurmaz - Kybernetes, 2011 - emerald.com
Purpose–The purpose of this paper is to introduce stability analysis for the initial value
problem for the fractional Schrödinger differential equation: Equation 1 in a Hilbert space H …
problem for the fractional Schrödinger differential equation: Equation 1 in a Hilbert space H …
Existence results for solutions of nonlinear fractional differential equations
This paper deals with theoretical and constructive existence results for solutions of nonlinear
fractional differential equations using the method of upper and lower solutions which …
fractional differential equations using the method of upper and lower solutions which …
On the numerical solution of fractional Schrödinger differential equations with the Dirichlet condition
A Ashyralyev, B Hicdurmaz - International Journal of Computer …, 2012 - Taylor & Francis
The first and second orders of accuracy difference schemes for the mixed problem for the
multidimensional fractional Schrödinger differential equation with dependent coefficients are …
multidimensional fractional Schrödinger differential equation with dependent coefficients are …
Existence and uniqueness of solutions for the system of nonlinear fractional differential equations with nonlocal and integral boundary conditions
A Ashyralyev, YA Sharifov - Abstract and Applied Analysis, 2012 - Wiley Online Library
In the present study, the nonlocal and integral boundary value problems for the system of
nonlinear fractional differential equations involving the Caputo fractional derivative are …
nonlinear fractional differential equations involving the Caputo fractional derivative are …
On the explicit solutions of fractional Bagley-Torvik equation arises in engineering
Z Pinar - An International Journal of Optimization and Control …, 2019 - ijocta.org
Abstract In this work, Bagley-Torvik equation is considered with conformable derivatives.
The analytical solutions will be obtained via Sine-Gordon expansion method and Bernouli …
The analytical solutions will be obtained via Sine-Gordon expansion method and Bernouli …
[HTML][HTML] Well-posedness of the Basset problem in spaces of smooth functions
A Ashyralyev - Applied Mathematics Letters, 2011 - Elsevier
In the present paper we consider the initial value problem for the fractional differential
equation in a Banach space E with the strongly positive operator A. The well-posedness of …
equation in a Banach space E with the strongly positive operator A. The well-posedness of …