Exploring the Applications of Fractional Differential Equations in Advancing Science and Technology

Abstract: Fractional differential equations (FDEs) generalize traditional calculus by extending derivatives to non-integer orders. This flexibility allows for more accurate modelling of complex systems exhibiting memory, hereditary effects, and non-local behaviour. This paper explores various applications of FDEs across multiple fields, including physics, engineering, biology, and finance, highlighting their significance in addressing real-world problems.