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All Journal Journal of Multidisciplinary Science: MIKAILALSYS Asian Journal of Science, Technology, Engineering, and Art ALSYSTECH Journal of Education Technology International Journal of Education, Culture, and Society Mikailalsys Journal of Advanced Engineering International Mikailalsys Journal of Mathematics and Statistics International Journal of Humanities, Education, and Social Sciences
Kumar, Nand Kishor
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Journal : ALSYSTECH Journal of Education Technology

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G-Calculus in Economic Growth Models: A Mathematical Framework Kumar, Nand Kishor; Sahani, Suresh Kumar
ALSYSTECH Journal of Education Technology Vol 3 No 2 (2025): ALSYSTECH Journal of Education Technology
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/alsystech.v3i2.5727

Abstract

Economic growth models are essential for understanding the long-term dynamics of economies, yet traditional models often rely on classical differential and integral calculus, which may inadequately represent discrete, nonlinear, or growth-oriented phenomena. This study aims to introduce G-Calculus (Geometric Calculus), an extension of non-Newtonian calculus, as an alternative analytical framework that is particularly effective for modeling multiplicative and exponential growth systems. We present the theoretical underpinnings of G-Calculus and apply it to established economic growth frameworks, such as the Solow model and endogenous growth theory. By utilizing a comparative analysis, we evaluate the performance of G-Calculus in capturing economic dynamics, revealing significant advantages in terms of both accuracy and applicability. The findings indicate that G-Calculus provides a more natural and effective representation of economic growth processes, thereby enhancing the analytical capabilities of economists. This study contributes to the existing literature by offering a novel perspective on economic modeling, suggesting that G-Calculus can be a valuable tool for researchers and policymakers aiming to gain deeper insights into economic development.
Co-Authors Acharya, Chiranjivi Acharya, Pradeep Pokhrel, Chudamani Poudel, Omkar Sahani, Suresh Kumar Shah, Raj Kumar Sharma, Deep Raj Yadav, Dipendra Prasad Yadav, Dipendsra Prasad