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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


Existence of Solutions of Stochastic Fractional Integrodifferential Equations

Discontinuity, Nonlinearity, and Complexity 7(1) (2018) 55--65 | DOI:10.5890/DNC.2018.03.005

P. Umamaheswari, K. Balachandran, N. Annapoorani

Department of Mathematics, Bharathiar University, Coimbatore 641046, India

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Abstract

In this paper, a general class of stochastic fractional integrodifferential equations is investigated. The Picard-Lindel ¨of successive approximation scheme is used to establish the existence of solutions. The uniqueness of the solution is also studied under suitable conditions.

Acknowledgments

The authors are thankful to the referees for the improvements of the paper.

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