Modern technique to study Cauchy-type problem of fractional variable order differential equations with infinite delay via phase space
Marwa Benaouda,
Souhila Sabit,
Hatıra Günerhan
et al.
Abstract:In this paper, we use a novel approach to study the existence, uniqueness, and stability of solutions (EUSS) to a Cauchy-type problem of nonlinear fractional differential equations (FrDiEq) of variable order with infinite delay (CPNFDEVOID). Contrary to the techniques taken in the literature, which were centered on the usage of the concept of generalized intervals and the idea of piecewise constant functions, our approach is straightforward and based on a novel fractional operator that is more appropriate and … Show more
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