Abstract
In this paper, we introduce a new approach to solving fractional initial and boundary value problems involving a heat equation, a wave equation, and a telegraph equation by modifying the double Sumudu transform of the fractional type. We discuss a modified double conformable Sumudu transform together with the conditions for its existence. In addition, we prove some more properties of the fractional-type Sumudu transform, including convolution and other properties, which are well known for their use in solving various symmetric and asymmetric problems in applied sciences and engineering.
| Original language | British English |
|---|---|
| Article number | 2249 |
| Journal | Symmetry |
| Volume | 14 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 2022 |
Keywords
- conformable fractional derivative
- convolution
- Sumudu transform
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