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Published in:
2013 | OriginalPaper | Chapter
Exact Solution of Two-Term Nonlinear Fractional Differential Equation with Sequential Riemann-Liouville Derivatives
Authors : Marek Błasik, Małgorzata Klimek
Published in: Advances in the Theory and Applications of Non-integer Order Systems
Publisher: Springer International Publishing
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In this paper we derive a general solution for a class of nonlinear sequential fractional differential equations (SFDEs) with Riemann -Liouville (R-L) derivatives of arbitrary order. The solution of such an equation exists in arbitrary interval (0,
b
], provided nonlinear term obeys the respective Lipschitz condition. We prove that each pair of stationary functions of the corresponding R-L derivatives leads to a unique solution in the weighted continuous functions space.