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Analytic approximate solutions for a class of variable order fractional differential equations using the polynomial least squares method

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Abstract In this paper a new way to compute analytic approximate polynomial solutions for a class of nonlinear variable order fractional differential equations is proposed, based on the Polynomial Least… Click to show full abstract

Abstract In this paper a new way to compute analytic approximate polynomial solutions for a class of nonlinear variable order fractional differential equations is proposed, based on the Polynomial Least Squares Method (PLSM). In order to emphasize the accuracy and the efficiency of the method several examples are included.

Keywords: order; solutions class; analytic approximate; fractional differential; order fractional; variable order

Journal Title: Fractional Calculus and Applied Analysis
Year Published: 2017

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