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    Approximate analytical solutions of the nonlinearfractional order financial model by two efficientmethods with a comparison study
    (Samara State Technical Univ, 2024) Liaqat, M. I.; Khan, A.; Irshad, A.; Akguel, A.; Prosviryakov, E.
    The financial system has become prominent and important in globaleconomics, because the key to stabilizing the economy is to secure or controlthe financial system or market. The goal of this study is to determine whether or not the approximateanalytical series solutions obtained by the residual power series method andElzaki transform decomposition method of the fractional nonlinear financialmodel satisfy economic theory. The fractional derivative is used in the senseof the Caputo derivative. The results are depicted numerically and in figures that show the behav-ior of the approximate solutions of the interest rate, investment demand,and price index. Both methods yielded results in accordance with economictheory, which established that researchers could apply these two methods tosolve various types of fractional nonlinear problems that arise in financialsystems