Abstract
In this paper, we introduce the concept of Shehu transform in q-calculus namely q-Shehu transform and establish some properties. We also give some applications of q-Shehu transform for solving some ordinary and partial differential equations with initial and boundary values problems to show its effectiveness and performance of the proposed transform.
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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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A.K.S. and S.P. contributed equally to this work.
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Sinha, A.K., Panda, S. Shehu Transform in Quantum Calculus and Its Applications. Int. J. Appl. Comput. Math 8, 19 (2022). https://doi.org/10.1007/s40819-021-01233-w
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DOI: https://doi.org/10.1007/s40819-021-01233-w
Keywords
- Quantum calculus
- q-Jackson integrals
- q-Derivative
- Shehu transform
- q-Shehu transform
- Convolution
- Applications of q-Shehu transform