Numerical solutions of fractional Burgers' type equations with conformable derivative

M Senol, O Tasbozan, A Kurt - Chinese Journal of Physics, 2019 - Elsevier
In this article, we introduce the residual power series method (RPSM) for finding
approximate solutions of the time-fractional Burgers type equations using the conformable …

Positive solutions for a class of nonlinear Hadamard fractional differential equations with a parameter

H Huang, W Liu - Advances in Difference Equations, 2018 - Springer
In this paper, we investigate a class of boundary value problem of nonlinear Hadamard
fractional differential equations with a parameter. By means of the properties of the Green …

Iterative techniques with computer realization for the initial value problem for Caputo fractional differential equations

R Agarwal, A Golev, S Hristova, D O'Regan… - Journal of Applied …, 2018 - Springer
The main aim of the paper is to suggest some algorithms and to use them in an appropriate
computer environment to solve approximately the initial value problem for scalar nonlinear …

[PDF][PDF] Numerical solutions of fractional Boussinesq-Whitham-Broer-Kaup and diffusive Predator-Prey equations with conformable derivative

M Senol, A Kurt, E Atilgan… - New Trends in …, 2019 - researchgate.net
In this article, the residual power series method (RPSM) is used to obtain numerical
solutions of the time-fractional Boussinesq-Whitham-Broer-Kaup (BBWK) and Diffusive …

[PDF][PDF] Numerical treatment of the coupled fractional mKdV equations based on the Adomian decomposition

J Alahmadi, B Aldossary… - Appl. Math, 2024 - digitalcommons.aaru.edu.jo
The present research implements the decomposition Adomian approach of the
approximation solution for the nonlinear coupled modification Korteweg-De Vries (KdV) …

Existence of extremal solutions for a class of fractional integro-differential equations

H Kutlay, A Yakar - Bulletin of the Karaganda University …, 2024 - mathematics-vestnik.ksu.kz
In the study the existence of solutions of a class of fractional integro-differential equations
with boundary conditions was considered. The main tool, we employ, is the conventional …

Iterative techniques with computer realization for initial value problems for Riemann–Liouville fractional differential equations

R Agarwal, A Golev, S Hristova… - Journal of Applied …, 2020 - degruyter.com
The main aim of this paper is to suggest some algorithms and to use them in an appropriate
computer environment to solve approximately the initial value problem for scalar nonlinear …

[PDF][PDF] Dispersion of SH surface waves in an inhomogeneous covered half-space with initial stresses

M Negin - Sixth International Conference on Analysis and Applied …, 2022 - icaam-online.org
The dispersive behavior of SH surface waves propagating in an elastic inhomogeneous half-
space substrate covered by an elastic layer of finite thickness under the effect of initial …

A NOTE ON MONOTONE TECHNİQUE FOR A CLASS OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

A YAKAR, H KUTLAY - Nurettin DOĞAN - theicmme.org
qq CCD ut F tut I ut= with boundary condition ()()() 0, 0 gu u T= where, and We investigate
the existence of the solutions of the Caputo fractional integrodifferential equation by …

Rapid Convergence of Approximate Solutions for Fractional Differential Equations

X Wu, J Bao, Y Sun - Journal of Function Spaces, 2020 - Wiley Online Library
In this paper, we develop a generalized quasilinearization technique for a class of Caputo's
fractional differential equations when the forcing function is the sum of hyperconvex and …