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A Transformation Method for Delta Partial Difference Equations on Discrete Time Scale

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  • Syed Sabyel Haider
  • Mujeeb Ur Rehman
  • Thabet Abdeljawad

Abstract

The aim of this study is to develop a transform method for discrete calculus. We define the double Laplace transforms in a discrete setting and discuss its existence and uniqueness with some of its important properties. The delta double Laplace transforms have been presented for integer and noninteger order partial differences. For illustration, the delta double Laplace transforms are applied to solve partial difference equation.

Suggested Citation

  • Syed Sabyel Haider & Mujeeb Ur Rehman & Thabet Abdeljawad, 2020. "A Transformation Method for Delta Partial Difference Equations on Discrete Time Scale," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-14, July.
  • Handle: RePEc:hin:jnlmpe:3902931
    DOI: 10.1155/2020/3902931
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