Invariant subspace method: A tool for solving fractional partial differential equations

Author:

Choudhary Sangita1,Daftardar-Gejji Varsha1

Affiliation:

1. Dept. of Mathematics , Savitribai Phule Pune University Ganeshkhind , Pune - 411007 , India

Abstract

Abstract In this paper invariant subspace method has been employed for solving linear and non-linear time and space fractional partial differential equations involving Caputo derivative. A variety of illustrative examples are solved to demonstrate the effectiveness and applicability of the method.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Reference18 articles.

1. G. Adomian Solving Frontier Problems of Physics: The Decomposition Method. Springer Science and Business Media, Netherlands (2013).

2. V. Daftardar-Gejji and S. Bhalekar, Solving fractional diffusion-wave equations using a new iterative method. Fract. Calc. Appl. Anal 11, No 2 (2008), 193-220; at http://www.math.bas.bg/lcaa.

3. V. Daftardar-Gejji and S. Bhalekar, Solving multi-term linear and non linear diffusion-wave equations of fractional order by adomian decomposition method. Appl. Math. Comput. 202, No 1 (2008), 113-120.

4. L. Debnath, Recent applications of fractional calculus to science and engineering. Internat. J. Math. Math. Sci. 2003, No 54 (2003), 3413 3442.

5. K Diethelm The Analysis of Fractional Differential Equations. Springer, New York (2010).

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