Numerical solution of fractional differential equation by wavelets and hybrid functions | Zendy

A. H. Refahi Sheikhani | Zendy; Mahamad Mashoof | Zendy

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Numerical solution of fractional differential equation by wavelets and hybrid functions

Author(s) -

A. H. Refahi Sheikhani,

Mahamad Mashoof

Publication year - 2017

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.v36i2.30904

Subject(s) - legendre wavelet , mathematics , legendre polynomials , fractional calculus , algebraic equation , wavelet , differential equation , matrix (chemical analysis) , orthogonality , order (exchange) , block (permutation group theory) , mathematical analysis , computer science , wavelet transform , discrete wavelet transform , physics , materials science , finance , economics , geometry , nonlinear system , quantum mechanics , artificial intelligence , composite material

In this paper, we introduce methods based on operational matrix of fractional order integration for solving a typical n-term non-homogeneous fractional differential equation (FDE). We use Block pulse wavelets matrix of fractional order integration where a fractional derivative is defined in the Caputo sense. Also we consider Hybrid of Block-pulse functions and shifted Legendre polynomials to approximate functions. By uses these methods we translate an FDE to an algebraic linear equations which can be solve. Methods has been tested by some numerical examples

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