Analysis of a system of nonautonomous fractional differential equations involving Caputo derivatives

146 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions (2010, background): “... Riemann-Liouville and Caputo fractional derivatives in recent years; see the monographs of Kilbas et al. [68], Kiryakova [69], Miller and Ross [75], Samko et al. [85] and the papers of Agarwal et al. [2–6], Ait Dads et al. [8], Babakhani and Daftardar-Gejji [11, 12], Belmekki et al. [17, 18], Be”
Solving Fractional Delay Differential Equations: A New Approach (2015, background): “1) is equivalent to the following Volterra integral equation [8]:”
Existence results for boundary-value problems with nonlinear fractional differential inclusions and integral conditions. (2010, background): “There has been a significant development in ordinary and partial differential equations involving both Riemann-Liouville and Caputo fractional derivatives in recent years; see the monographs of Kilbas et al. [38], Miller and Ross [42], Samko et al. [50] and the papers of Agarwal et al. [2], Benchohr”
Generalized fractional derivatives and Laplace transform (2020, background): “Applications on such derivatives can be seen in [10, 11, 1, 2, 5, 6] and the references therein.”
Solving systems of fractional differential equations using differential transform method (2008, methodology): “Following [4], we consider the following system of two nonlinear fractional differential equations: D1.”