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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com


Three-point Multi-term Fractional Integral Boundary Value Problems of Fractional Functional Differential Equations with Delay

Discontinuity, Nonlinearity, and Complexity 7(1) (2018) 107--118 | DOI:10.5890/DNC.2018.03.009

K. Sathiyanathan, V. Krishnaveni, M. Sivabalan

Department of Mathematics, SRMV College of Arts and Science, Coimbatore - 641020, India

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Abstract

In this paper, we study fractional functional differential equations with three-point multi-term boundary conditions. Our method of analysis is based on the reduction of the given system to an equivalent system of integral equations. Existence and uniqueness results are obtained by using Schauder fixed point theorem and contraction principle. An illustrative example is also presented.

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