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Abstract
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We aim to investigate an integro-differential inclusion using a novel computational
approach in this research. The use of quantum calculus, and consequently the creation of discrete
space, allows the computer and computational algorithms to solve our desired problem. Furthermore,
to guarantee the existence of the solution, we use the endpoint property based on fixed point methods,
which is one of the most recent techniques in fixed point theory. The above will show the novelty of our
work, because most researchers use classical fixed point techniques in continuous space. Moreover,
the sensitivity of the parameters involved in controlling the existence of the solution can be recognized
from the heatmaps. For a better understanding of the issue and validation of the results, we presented
numerical algorithms, tables and some figures in our examples that are presented at the end of the
work.
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