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Reduced differential transform and Sumudu transform methods for solving fractional financial models of awareness

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Abstract

In that paper, we new study has been carried out on previous studies of one of the most important mathematical models that describe the global economic movement, and that is described as a non-linear fractional financial model of awareness, where the studies are represented at the steps following: One: The schematic of the model is suggested. Two: The disease-free equilibrium point (DFE) and the stability of the equilibrium point are discussed. Three: The stability of the model is fulfilled by drawing the Lyapunov exponents and Poincare map. Fourth: The existence of uniformly stable solutions have discussed. Five: The Caputo is described as the fractional derivative. Six: Fractional optimal control for NFFMA is discussed by clarifying the fractional optimal control through drawing before and after control. Seven: Reduced differential transform method (RDTM) and Sumudu Decomposition Method (SDM) are used to take the resolution of an NFFMA. Finally, we display that SDM and RDTM are highly identical.

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Acknowledgements

The authors would like to acknowledge the Deanship of Scientific Research at Taif University for funding this work.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif, 21944, Saudi Arabia

    A. M. S. Mahdy & K. A. Gepreel

  2. Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt

    Kh. Lotfy

  3. Technology and Maritime Transport, Arab Academy for Science, 1029, Alexandria, Egypt

    A. El-Bary

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  1. A. M. S. Mahdy
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Correspondence to A. M. S. Mahdy.

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Mahdy, A.M.S., Gepreel, K.A., Lotfy, K. et al. Reduced differential transform and Sumudu transform methods for solving fractional financial models of awareness. Appl. Math. J. Chin. Univ. 38, 338–356 (2023). https://doi.org/10.1007/s11766-023-3713-0

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  • DOI: https://doi.org/10.1007/s11766-023-3713-0

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