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A Coupled System of Caputo-Type Sequential Fractional Differential Equations with Coupled (Periodic/Anti-periodic Type) Boundary Conditions

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Abstract

In this paper, we introduce the concept of coupled (periodic/anti-periodic type) boundary conditions and solve a coupled system of nonlinear sequential fractional differential equations equipped with these conditions. Sufficient criteria ensuring the existence and uniqueness of solutions for the given problem are presented. Our results are new in the given configuration and are well illustrated with the aid of examples.

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Authors and Affiliations

  1. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    Bashir Ahmad, Ahmed Alsaedi & Mohammed H. Aqlan

  2. Departamento de Estastística, Análise Matemática e Optimización, Instituto de Matematicas Facultad de Matematicas, University of Santiago de Compostela, 15782, Santiago de Compostela, Spain

    Juan J. Nieto

Authors
  1. Bashir Ahmad
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  2. Juan J. Nieto
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  3. Ahmed Alsaedi
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  4. Mohammed H. Aqlan
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Correspondence to Bashir Ahmad.

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Ahmad, B., Nieto, J.J., Alsaedi, A. et al. A Coupled System of Caputo-Type Sequential Fractional Differential Equations with Coupled (Periodic/Anti-periodic Type) Boundary Conditions. Mediterr. J. Math. 14, 227 (2017). https://doi.org/10.1007/s00009-017-1027-2

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  • DOI: https://doi.org/10.1007/s00009-017-1027-2

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