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\begin{document}

\title{Adaptation of kernel functions-based approach with ABC distributed order
derivative for solutions of fuzzy fractional Volterra and Fredholm
integrodifferential equations}



\author[1]{omar abu arqub}%
\author[2]{Jagdev Singh}%
\author[3]{Mohammed Alhodaly}%
\affil[1]{Al Balqa Applied University}%
\affil[2]{JECRC University}%
\affil[3]{King Abdulaziz University}%


\vspace{-1em}



  
  \date{June 15, 2024}


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\begin{abstract}
Mathematical modeling of uncertain FIDEs is an extremely significant
topic in electric circuits, signal processing, electromagnetics, and
anomalous diffusion systems. Based on the RKA, a touching numerical
approach is considering in this study to solve groups of FFIDEs with ABC
fractional distributed order derivatives. The solution-based approach
lies in generating infinite orthogonal basis from kernel functions,
where uncertain condition is fulfilled. Thereafter, an orthonormal basis
is erected to figurate fuzzy ABC solutions with series shape in idioms
of \selectlanguage{greek}η-\selectlanguage{english}cut extrapolation in Hilbert space A(D) and B(D). In this
orientation, fuzzy ABC fractional integral, fuzzy ABC fractional
derivative, and fuzzy ABC FIDE are utilized and comprised. The
competency and accuracy of the suggested approach are indicating by
employing several experiments. From theoretical viewpoints, the acquired
results signalize that the utilize approach has several merits in
feasibility and opportunity for treating with many fractional ABC
distributed order models. In the end, highlights and future suggested
research work are eluded.%
\end{abstract}%



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