Analysis of New Transfer Functions by Some Integral Transforms

Ali Akgül; Dumitru Baleanu; Mohd Khalid; Nourhane Attia; P Srikanth Rao; Evren Hincal

doi:10.5890/JEAM.2027.03.014

Authors

Ali Akgül Department of Electronics and Communication Engineering, Saveetha School of Engineering, SIMATS, Chennai, Tamilnadu, India; Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey; Faculty of Science, Department of Computer Sciences, Karadeniz Technical University, Trabzon, Türkiye; Applied Science Research Center, Applied Science Private University, Amman, 11937, Jordan Author
Dumitru Baleanu Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon Author
Mohd Khalid Department of Mathematics, Lords Institute of Engineering and Technology, Hyderabad, India Author
Nourhane Attia National High School for Marine Sciences and Coastal (ENSSMAL), Dely Ibrahim University Campus, Bois des Cars, B.P. 19, 16320, Algiers, Algeria Author
P Srikanth Rao B V Raju Institute of Technology, Narsapur, Medak District, Telangana Author
Evren Hincal ANear East University, Department of Mathematics, Mersin 10, TRNC, Turkey; Research Center of Applied Mathematics, Khazar University, Baku, Azerbaijan Author

DOI:

https://doi.org/10.5890/JEAM.2027.03.014

Abstract

In this paper, we investigated the Shehu transform and the formable integral transform, both belonging to the class of Laplace-type integral transforms. The formable integral transform represents a novel and effective method for solving both ordinary and partial differential equations. We use these transforms to solve some differential equations that involve various types of derivatives, including classical, Caputo, Caputo-Fabrizio, and Atangana-Baleanu derivatives, investigating their complex dynamics and revealing the corresponding transfer functions. By extending the capabilities of Laplace and Sumudu integral transforms, these innovative integral transforms offer efficient solutions for classical as well as fractional differential equations, significantly expanding the range of solvable mathematical models. The derived transfer functions not only serve as powerful analytical tools but also demonstrate remarkable versatility in addressing diverse mathematical models, thus emphasizing their significant impact on mathematical analysis and applications.

References

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Analysis of New Transfer Functions by Some Integral Transforms

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