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Abstract
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This research is conducted for studying some qualitative specifications of solution to
a generalized fractional structure of the standard snap boundary problem. We first
rewrite the mathematical model of the extended fractional snap problem by means
of the G-operators. After finding its equivalent solution as a form of the integral
equation, we establish the existence criterion of this reformulated model with respect
to some known fixed point techniques. Then we analyze its stability and further
investigate the inclusion version of the problem with the help of some special
contractions. We present numerical simulations for solutions of several examples
regarding the fractional G-snap system in different structures including the Caputo,
Caputo–Hadamard, and Katugampola operators of different orders.
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