Analysis on a nonlinear fractional differential equations in a bounded domain $$[1,\mathcal {T}]$$
Muath Awadalla,
K. Buvaneswari,
P. Karthikeyan
et al.
Abstract:In this manuscript, based on the most widespread fixed point theories in literature. The existence of solutions to the system of nonlinear fractional differential equations with Caputo Hadmard fractional operator in a bounded domain is verified by using Mönoch’s fixed point theorem, The stability of the coupled system is also investigated via Ulam-Hyer technique. Finally, an applied numerical example is presented to illustrate the theoretical results obtained.
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