Application of Fractional Differential Equation in field of Science, Technology and Real Life

Abstract: Fractional differential equations (FDEs) have gained significant attention due to their ability to model complex systems more accurately than classical differential equations. These equations extend the concept of integer-order derivatives to non-integer orders, offering greater flexibility in capturing memory effects and hereditary properties. This paper explores real-life applications of fractional differential equations in various fields such as physics, engineering, finance, and medicine, highlighting their importance in modern scientific and technological advancements.