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The ARA transform in quantum calculus and its applications

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Abstract

In this paper, we introduce the concept of ARA transform in q-calculus namely q-ARA transform and establish some properties. Furthermore, several propositions concerned with the properties of q-ARA transform are explored. We also give some applications of q-ARA transform for solving some ordinary and partial differential equations with initial and boundary values problems.

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Acknowledgements

The authors are extremely thankful to Department of Mathematics, National Institute of Technology Raipur (C.G.)-492010, India, for providing facilities, space and an opportunity for the work.

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  1. Department of Mathematics, National Institute of Technology Raipur (C.G.), Raipur, 492010, India

    Arvind Kumar Sinha & Srikumar Panda

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  1. Arvind Kumar Sinha
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Sinha, A.K., Panda, S. The ARA transform in quantum calculus and its applications. Boll Unione Mat Ital 15, 451–464 (2022). https://doi.org/10.1007/s40574-021-00316-2

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