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Existence and uniqueness result for a class of sequential fractional differential equations

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Abstract

In this paper, we consider the following sequential fractional differential equation with initial value problem:

where 0<α≤1 and f:[0,1]×ℝ×ℝ→ℝ is continuous. Existence and uniqueness results of solutions are established.

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Authors and Affiliations

  1. School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, 233030, P.R. China

    Qingdong Li & Han Su

  2. School of Mathematics, Shandong University, Jinan, 250100, P.R. China

    Zhongli Wei

Authors
  1. Qingdong Li
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  2. Han Su
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  3. Zhongli Wei
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Correspondence to Qingdong Li.

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Li, Q., Su, H. & Wei, Z. Existence and uniqueness result for a class of sequential fractional differential equations. J. Appl. Math. Comput. 38, 641–652 (2012). https://doi.org/10.1007/s12190-011-0502-3

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  • DOI: https://doi.org/10.1007/s12190-011-0502-3

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