Application of Kashuri Fundo transform and homotopy perturbation methods to fractional heat transfer and porous media equations

HA Peker, FA Cuha - Thermal Science, 2022 - doiserbia.nb.rs
Integral transformations have been used for a long time in the solution of differential
equations either solely or combined with other methods. These transforms provide a great …

Approximate solutions of Volterra-Fredholm integro-differential equations of fractional order

S Alkan, VF Hatipoglu - 2017 - projecteuclid.org
In this study, sinc-collocation method is introduced for solving Volterra-Fredholm
integrodifferential equations of fractional order. Fractional derivative is described in the …

Collocation approach for the computational solution of Fredholm-Volterra fractional order of integro-differential equations

G Ajileye, A James, A Abdullahi… - Journal of the Nigerian …, 2022 - journal.nsps.org.ng
In this work, a collocation technique is used to determine the computational solution to
fractional order Fredholm-Volterra integro-differential equations with boundary conditions …

A solution method for integro-differential equations of conformable fractional derivative

M Bayram, VF Hatipoğlu, S Alkan… - Thermal Science …, 2017 - acikerisim.gelisim.edu.tr
The aim of this work is to determine an approximate solution of a fractional order Volterra-
Fredholm integro-differential equation using by the Sinc-collocation method. Conformable …

[PDF][PDF] Approximate solution of boundary value problems using shifted Legendre polynomials

H Khalil, K Shah, RA Khan - Appl. Comput. Math, 2017 - researchgate.net
HAMMAD KHALIL1, KAMAL SHAH2, RAHMAT ALI KHAN2 Abstract. In this paper, we study
some properties of shifted Legendre Polynomials. Based on these polynomials, we develop …

A numerical method for solution of integro-differential equations of fractional order

S Alkan - Sakarya University Journal of Science, 2017 - dergipark.org.tr
In this study, sinc-collocation method is introduced for solving Volterra integro-differential
equations of fractional order. Fractional derivative is described in the Caputo sense often …

[PDF][PDF] On the solution of lake pollution model by Sinc collocation method

T Yeloglu - Thermal Science, 2023 - doiserbia.nb.rs
In this paper, Sinc collocation method is employed for finding the approximate solution of the
three lakes pollution model. In order to show the effectiveness and accuracy of the Sinc …

Time frequency method of solving one boundary value problem for a hyperbolic system and its application to the oil extraction

FA Aliev, NA Aliev, AP Guliev - Журнал математической физики …, 2016 - mathnet.ru
We consider the boundary value problem, where the motion of the object is described by the
two-dimensional linear system of partial differential equations of hyperbolic type where a …

[PDF][PDF] Comparison of sinc methods for the solution of fractional boundary value problems

S Alkan, MC Serifoglu, T Yeloglu - Abstract Comput. Math, 2016 - academia.edu
In this study, sinc-Galerkin and sinc-collocation methods are presented to solve numerically
some well-known class of fractional differential equations (FDEs) utilizing Mathematica. By …

[PDF][PDF] A modification of approximate random characteristics for a model of Zika virus transmission

Z Bekiryazici, T Kesemen, M Merdan, T Khaniyev - Thermal Science, 2022 - doiserbia.nb.rs
In this study, a theoretical model of Zika virus transmission is investigated with random
parameters. The parameters of a deterministic model are transformed to random variables to …