Solvability of Fractionl q -Difference Equations of Order 2   3 Involving The P-Laplacian Operator

Abstract

In this paper, we study the existence of solutions for non-linear fractional q-difference equations of order 2   3 involving the p-Laplacian operator with various boundary value conditions. By using the Banach contraction mapping principle, we prove that, under certain conditions, the suggested non-linear fractional boundary value problem involving the p-Laplacian operator has a unique solution. Finally, we illustrate our results with some examples.

Authors and Affiliations

Yawen Yan Chengmin Hou

Keywords

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  • EP ID EP276221
  • DOI -
  • Views 146
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How To Cite

Yawen Yan Chengmin Hou (2018). Solvability of Fractionl q -Difference Equations of Order 2   3 Involving The P-Laplacian Operator. Invention Journal of Research Technology in Engineering & Management, 2(3), 17-29. https://europub.co.uk/articles/-A-276221