New results on complex conformable integral
A new theory of analytic functions has been recently introduced in the sense of conformable fractional derivative. In addition, the concept of fractional contour integral has also been developed. In this paper, we propose and prove some new results on complex fractional integration. First, we establ...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universidad Politécnica de Cartagena(UPCT) |
| Repositorio: | Repositorio Digital UPCT |
| OAI Identifier: | oai:repositorio.upct.es:10317/13280 |
| Acceso en línea: | http://hdl.handle.net/10317/13280 https://www.aimspress.com/article/10.3934/math.2020492 |
| Access Level: | acceso abierto |
| Palabra clave: | conformable fractional derivative conformable fractional integral fractional contour integrals fractional analytic functions Cauchy's integral theorem Matemática Aplicada 12 Matemáticas |
| Sumario: | A new theory of analytic functions has been recently introduced in the sense of conformable fractional derivative. In addition, the concept of fractional contour integral has also been developed. In this paper, we propose and prove some new results on complex fractional integration. First, we establish necessary and sufficient conditions for a continuous function to have antiderivative in the conformable sense. Finally, some of the well-known Cauchy′s integral theorems will also be the subject of the extension that we do in this paper. |
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