Volume 15, Issue 7 · IJARST · ISSN 2319-1783 / 2320-1126

Comparison of Classical, Generalized and Hybrid Integral Transforms: A Review

Comparison of Classical, Generalized and Hybrid Integral Transforms: A Review is an open-access, peer-reviewed research paper by Dr. A. N. Rangari*, A. N. Kedar, V. D. Sharma, published in Volume 15, Issue 7 of the International Journal of Advanced Research in Science and Technology (IJARST), a UGC-approved journal (Print ISSN 2319-1783, Online ISSN 2320-1126).

Author

Dr. A. N. Rangari*, A. N. Kedar, V. D. Sharma

Abstract

Integral transforms are among the most powerful mathematical tools for solving differential, integral, and integro-differential equations by transforming them into simpler algebraic forms. This review presents a comprehensive overview of the evolution, mathematical foundations, operational properties applications, and recent developments of classical, generalized, and hybrid integral transforms. A comparative analysis is provided to highlight their similarities, differences, advantages, and limitations in terms of computational efficiency, convergence, and engineering applications. Recent advances in generalized transform theory, hybrid analytical techniques, fractional calculus, artificial intelligence-assisted computation, and unified transform frameworks are also discussed. Furthermore, the paper identifies current research gaps and outlines future research directions aimed at developing unified mathematical theories, efficient computational algorithms.

DOI: https://doi.org/10.62226/ijarst20262742

 

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DOI

https://doi.org/10.62226/ijarst20262742

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How do you cite this paper?

Dr. A. N. Rangari*, A. N. Kedar, V. D. Sharma — “Comparison of Classical, Generalized and Hybrid Integral Transforms: A Review.” International Journal of Advanced Research in Science and Technology (IJARST), Volume 15, Issue 7. DOI: https://doi.org/10.62226/ijarst20262742.

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