| Volume 14, Number 6, 2024, Pages - DOI：10.11948/JAAC-2024-0001 |
| Analysis of New Transfer Functions with SUM Integral Transformation |
| Nourhane Attia,Ali Akgül,Dumitru Baleanu,Enver Ülgül,Necibullah Sakar |
| Keywords:SUM ?ntegral transform, Classical derivatives, Transfer functions, Pole analysis, Fractional derivatives |
| Abstract: |
| We explore the Laplace-style integral conversions referred to as the Sum integral transforms. This method, the Sum integral transform, presents a novel and effective approach to address both ordinary and partial equations. Utilizing these transforms, we solve a variety of differential equations encompassing the classical derivative, Caputo derivative, Modified Caputo-Fabrizio derivative, Modified Atangana-Baleanu derivative, and Constant Proportional Caputo derivative, deriving corresponding transfer functions. These integral transformations extend the capabilities of solving differential equations beyond the conventional Laplace and Sumudu integral transforms. The resultant transfer functions offer valuable insights across diverse mathematical models. |
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