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Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/14945
Title: Deformable derivative in complex domain
Authors: Mathur, Trilok
Agarwal, Shivi
Keywords: Mathematics
Complex Domain
Issue Date: 2024
Publisher: Springer
Abstract: In this article, we are proposing a limit-based definition, which we have termed as complex deformable derivative. The complex deformable derivative and complex deformable integral with non-integer order , coincides with the classical complex derivative for . The complex deformable derivative is defined by using a limit approach similar to the classical definition of derivative involving a parameter. This derivative is represented as the linear combination of the function and its integer-order derivative. We investigate the elementary properties of deformable derivative and integral. The results have been demonstrated for this derivative using illustrative examples.
URI: https://link.springer.com/article/10.1007/s41478-024-00729-0
http://dspace.bits-pilani.ac.in:8080/jspui/xmlui/handle/123456789/14945
Appears in Collections:Department of Mathematics

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