Collocation Method Based on Genocchi Operational Matrix for Solving Generalized Fractional Pantograph Equations
نویسندگان
چکیده
منابع مشابه
A new class of operational matrices method for solving fractional neutral pantograph differential equations
*Correspondence: [email protected] Department of Mathematics, Harbin Institute of Technology at Weihai, Weihai, China Abstract This paper uses new fractional integration operational matrices to solve a class of fractional neutral pantograph delay differential equations. A fractional-order function space is constructed where the exact solution lies in, and a set of orthogonal bases are given. Us...
متن کاملA New Generalized Laguerre-gauss Collocation Scheme for Numerical Solution of Generalized Fractional Pantograph Equations
A.H. BHRAWY1,2, A.A. AL-ZAHRANI3, Y.A. ALHAMED3, D. BALEANU3,4,5 1Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia E-mail: [email protected] 2Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt 3Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, J...
متن کاملExtended Triangular Operational Matrix For Solving Fractional Population Growth Model
In this paper, we apply the extended triangular operational matrices of fractional order to solve the fractional voltrra model for population growth of a species in a closed system. The fractional derivative is considered in the Caputo sense. This technique is based on generalized operational matrix of triangular functions. The introduced method reduces the proposed problem for solving a syst...
متن کاملWavelet Collocation Method for Solving Multiorder Fractional Differential Equations
The operational matrices of fractional-order integration for the Legendre and Chebyshev wavelets are derived. Block pulse functions and collocation method are employed to derive a general procedure for forming these matrices for both the Legendre and the Chebyshev wavelets. Then numerical methods based on wavelet expansion and these operational matrices are proposed. In this proposed method, by...
متن کاملUsing operational matrix for numerical solution of fractional differential equations
In this article, we have discussed a new application of modification of hat functions on nonlinear multi-order fractional differential equations. The operational matrix of fractional integration is derived and used to transform the main equation to a system of algebraic equations. The method provides the solution in the form of a rapidly convergent series. Furthermore, error analysis of the pro...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Differential Equations
سال: 2017
ISSN: 1687-9643,1687-9651
DOI: 10.1155/2017/2097317