TY - JOUR
TI - Legendre wavelet operational matrix method for solving fractional differential equations in some special conditions
AU - Secer Aydin
AU - Altun Selvi
AU - Bayram Mustafa
JN - Thermal Science
PY - 2019
VL - 23
IS - 11
SP - 203
EP - 214
PT - Article
AB - This paper proposes a new technique which rests upon Legendre wavelets for solving linear and non-linear forms of fractional order initial and boundary value problems. In some particular circumstances, a new operational matrix of fractional derivative is generated by utilizing some significant properties of wavelets and orthogonal polynomials. We approached the solution in a finite series with respect to Legendre wavelets and then by using these operational matrices, we reduced the FDEs into a system of algebraic equations. Finally, the introduced tecnique is tested on several illustrative examples. The obtained results demonstrate that this technique is a very impressive and applicable mathematical tool for solving FDEs.