Fixed Point Theorems: Exploring Applications in Fractional Differential Equations for Economic Growth

Author(s)	Mr. SIVA PALEPU
Country	India
Abstract	This paper investigates the application of fixed point theorems to fractional differential equations arising in economic growth models. Fractional calculus allows the incorporation of memory and hereditary effects, which are essential in describing realistic economic dynamics. By employing Banach, Schauder, and Krasnoselskii fixed point theorems, we establish sufficient conditions for the existence and uniqueness of solutions to fractional economic growth models. Fractional versions of the Solow and endogenous growth models are analyzed, and the theoretical results are supported by illustrative examples. The results demonstrate that fixed point theory provides a powerful and rigorous framework for analyzing fractional economic systems.
Keywords	Fixed point theorem, fractional differential equations, economic growth, Caputo derivative, existence and uniqueness
Field	Mathematics > Economy / Commerce
Published In	Volume 7, Issue 6, November-December 2025
Published On	2025-12-25
DOI	https://doi.org/10.36948/ijfmr.2025.v07i06.64499

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