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\begin{document}

\title{Quantitative and Qualitative Analysis of a Quantum Multisingular Problem
by Computational Method and Heatmaps}



\author[1]{Reny George}%
\author[1]{Fahad Sameer Alshammari}%
\author[2]{Mehran Ghaderi}%
\author[3]{Shahram Rezapour}%
\affil[1]{Prince Sattam bin Abdulaziz University}%
\affil[2]{Dai Hoc Duy Tan}%
\affil[3]{China Medical University Hospital}%


\vspace{-1em}



  
  \date{May 18, 2024}


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\begin{abstract}
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 \selectlanguage{greek}\emph{α}-
\selectlanguage{english}\selectlanguage{greek}\emph{ψ}-\selectlanguage{english}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.%
\end{abstract}%



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