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Study on the existence and approximate solution of fractional differential equations with delay and its applications to financial models

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Abstract

This paper devoted to investigation on the system of fractional differential equations with delay. We use the Schauder fixed point theorem to prove the existence of solution for this system. In addition, we employ the hybrid functions of general block-pulse functions and the Legendre polynomials to solve our problem. Finally, we study the fractional order of the financial delay system, to illustrate the efficiency of the method.

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Acknowledgements

This research was supported by the Research Council of Semnan University (139704271060).

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  1. Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, P. O. Box 35195-363, Semnan, Iran

    Kazem Nouri

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  1. Kazem Nouri
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Nouri, K. Study on the existence and approximate solution of fractional differential equations with delay and its applications to financial models. J. Pseudo-Differ. Oper. Appl. 12, 29 (2021). https://doi.org/10.1007/s11868-021-00384-0

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  • DOI: https://doi.org/10.1007/s11868-021-00384-0

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