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Quantitative and Qualitative Analysis of a Quantum Multisingular Problem by Computational Method and Heatmaps
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  • Reny George,
  • Fahad Sameer Alshammari,
  • Mehran Ghaderi,
  • Shahram Rezapour
Reny George
Prince Sattam bin Abdulaziz University

Corresponding Author:[email protected]

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Fahad Sameer Alshammari
Prince Sattam bin Abdulaziz University
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Mehran Ghaderi
Dai Hoc Duy Tan
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Shahram Rezapour
China Medical University Hospital
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The physical phenomena with uncontrollable singularities pose challenges in solving related differential equations. In this work, we intend to investigate the quantitative and qualitative aspects of a multi-singular integro-differential equation with the help of quantum fractional operators by presenting numerical algorithms. Quantum calculus enables us to use numerical algorithms and software. The α- ψ-contraction, a new technique of fixed point theory, plays a significant role in proving the existence of the solution. To interpret tables with quantum values quickly and easily, we use heatmaps. We also presented three numerical examples to illustrate the accuracy and efficiency of our main results.