A5005683977- Fractional Differential Equations Solutions
- Iterative Methods for Nonlinear Equations
- Differential Equations and Numerical Methods
- Mathematical functions and polynomials
- Surfactants and Colloidal Systems
- Fuzzy Systems and Optimization
- Acoustic Wave Phenomena Research
- Functional Equations Stability Results
- Numerical methods in engineering
- Composite Material Mechanics
- Nonlinear Differential Equations Analysis
Abdul Wali Khan University Mardan
2019-2022
Taif University
2021
University of Bisha
2021
Umm al-Qura University
2021
Al-Azhar University
2021
Prince Sattam Bin Abdulaziz University
2021
Flanders Make (Belgium)
2019
The main aim of this article is the extension Optimal Homotopy Asymptotic Method to system fractional order integro-differential equations. systems Volterra equations (SFIDEs) are taken as test examples. derivatives defined in Caputo form and optimal values auxiliary constants calculated using well-known method least squares. results obtained by proposed scheme very encouraging show close resemblance with exact values. Hence it will be more appealing for researchers apply different arising...
In this paper, the study of fractional order partial differential equations is made by using reliable algorithm new iterative method (NIM). The derivatives are considered in Caputo sense whose belongs to closed interval [0, 1]. proposed directly extended fractional-order Roseau-Hyman and inhomogeneous without any transformation convert given problem into integer order. obtained results compared with those Variational Iteration Method (VIM), Homotopy Perturbation (HPM), Laplace (LVIM)...
In this work, a reliable technique is used for the solution of system Volterra integral equations (VIEs), called optimal homotopy asymptotic method (OHAM). The proposed successfully applied different problems, and comparison made with relaxed Monto Carlo (RMCM) hat basis function (HBFM). comparisons show that present more suitable VIEs. presented uses auxiliary containing constants, which control convergence. Moreover, OHAM does not require discretization like other numerical methods also...
The present paper is concerned with the implementation of optimal homotopy asymptotic method to find approximate solutions two-dimensional fractional order Volterra integro-differential equations. technique’s applicability and validity are tested through some numerical examples. derivatives calculated using Caputo’s sense. Results obtained by proposed technique compared Legendre wavelet method. provides us efficient more accurate than other existing methods in literature. Error analysis...
This paper deals with the solution of system 2D-fuzzy Fredholm integral equations (2D-FFIEs) depend upon parametric form fuzzy number; using an efficient algorithm called Optimal Homotopy Asymptotic Method (OHAM). The efficiency and effectiveness proposed technique is tested some numerical example results are compared modified homotopy perturbation method, 2D triangular function method Lagender interpolation. It observed from that suggested accurate, straightforward convenient to solve equations.
<abstract> <p>In this paper, an efficient technique called Optimal Homotopy Asymptotic Method has been extended for the first time to solution of system fuzzy integro-differential equations fractional order. This approach however, does not depend upon any small/large parameters in comparison other perturbation method. method provides a convenient way control convergence approximation series and allows adjustment regions where necessary. The developed recurrence relations are...
Fractional differential and integral equations are focus of the researchers owing to their tremendous applications in different field science technology, such as physics, chemistry, mathematical biology, dynamical system engineering. In this work, a power series approach called Residual Power Series Method (RPSM) is applied for solution fractional (non-integer) order integro-differential (FIDEs). The Caputo sense used calculating derivatives. Comparison obtained made with Trigonometric...
Integro-differential equations arise in modeling various physical and engineering problems. Several numerical analytical methods have been developed for solving integro-differential equations. In this paper, a powerful semi technique known as Optimal Homotopy Asymptotic Method (OHAM) has used finding the approximate solutions of Fredholm type Volterra The proposed method does not required discretization like other method, it is also free from any small/large parameters. presented provides...
The present work is concerned with examining the Optimal Homotopy Asymptotic Method (OHAM) for linear and nonlinear two‐dimensional Volterra integral equations (2D‐VIEs). result obtained by suggested method 2D‐VIEs compared differential transform method, Bernstein polynomial piecewise block‐plus of proposed 2D method. provides us efficient more accurate solutions to other existing methods in literature.
In this paper, we propose a weak formulation for the Biot theory of poro-elastic materials to calculate dispersion properties non-trivial realization porous material. This considers periodicity within field variables which are solid displacements and pressure in pores, resulting quadratic eigenvalue problem terms wavenumber.