Analysis of new transfer functions with sum integral transformation. (English) Zbl 07924371
Summary: We explore the novel SUM integral transform method for solving ordinary and partial differential equations, offering an effective approach beyond conventional Laplace and Sumudu transforms. Using this method, we address various differential equations, deriving transfer functions for classical and fractional derivatives. The resultant transfer functions provide valuable insights into diverse mathematical models.
MSC:
| 35A22 | Transform methods (e.g., integral transforms) applied to PDEs |
| 26A33 | Fractional derivatives and integrals |
Keywords:
SUM integral transform; classical derivatives; transfer functions; pole analysis; fractional derivativesReferences:
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