The Mohand Transform Approach to Fractional Integro-Differential Equations
Keywords:
Riemann-Liouville (RL) fractional integrals; fractional-order differential equation; gamma function; Mittag-Leffler function; Wright function; Mohand transform of the fractional derivativeAbstract
This research investigates specific classes of fractional integro-differential equations using a straightforward fractional calculus technique. The employed methodology yields a variety of compelling outcomes, including a generalized version of the well-established classical Frobenius method. The approach presented in this study primarily relies on fundamental theorems concerning the specific solutions of fractional integro-differential equations, utilizing the Mohand transform and binomial series extension coefficients. Additionally, advanced techniques for solving fractional integro-differential equations effectively are showcased.