Existence of fractional differential equations

By Cheng Yu, G. Gao. 2005

132 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/9a064457263d09b24d6b9076b2f7004751e72bcd

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In Applied Mathematics

In Modeling and Simulation

In Numerical Analysis

Citations in the corpus

Existence of solutions of initial value problems for nonlinear fractional differential equations on (2011, background): “uniqueness of solutions on the finite interval [0, T ] or [t0, t0 + T ] to initial value problems (see [12,26–30,32]).”
EXISTENCE AND UNIQUENESS OF SOLUTIONS TO IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS (2009, unknown): “[44] C. Yu and G. Gao; Existence of fractional differential equations, J. Math.”
Existence results for boundary-value problems with nonlinear fractional differential inclusions and integral conditions. (2010, background): “[49], Yu and Gao [52] and the references therein.”
BOUNDARY VALUE PROBLEMS FOR DIFFERENTIAL EQUATIONS WITH FRACTIONAL ORDER (2008, unknown): “There has been a significant development in fractional differential equations in recent years; see the monographs of Kilbas et al [16], Miller and Ross [22], Podlubny [27], Samko et al [29] and the papers of Delbosco and Rodino [4], Diethelm et al [5, 6, 7], El-Sayed [10], Kaufmann and Mboumi [14], ”
Boundary Value Problems for Fractional Differential Equations (2009, background): “There has been a significant progress in the investigation of fractional differential and partial differential equations in recent years; see the monographs of Kilbas et al [17], Miller and Ross [23], Samko et al [30] and the papers of Delbosco and Rodino [4], Diethelm et al [5, 6, 7], El-Sayed [8, ”
Global existence theory and chaos control of fractional differential equations (2007, background): “Theories on local existence, uniqueness and structural stability of solutions of specific fractional differential equations are successively established [8–10].”
Existence results for fractional order functional differential equations with infinite delay (2008, background): “[20], Yu and Gao [24] and the references therein.”
On fractional order derivatives and Darboux problem for implicit differential equations (2012, background): “[22], Vityuk and Golushkov [27], Yu and Gao [30], Zhang [31] and the references therein.”
Existence results for boundary value problems with non-linear fractional differential equations (2008, background): “Email: John-Graef@utc.edu ISSN 0003–6811 print/ISSN 1563–504X online 2008 Taylor & Francis DOI: 10.1080/00036810802307579 http://www.informaworld.com differential equations in recent years; see the monographs of Kilbas et al. [8], Miller and Ross [9], Samko et al. [10] and the papers of Agarwal et a”
Existence of solutions to fractional order ordinary and delay differential equations and applications. (2011, background): “For the existence of solutions for fractional differential equations, one can see [13, 12, 14, 3, 6, 8, 9, 10, 15, 16, 20, 21, 22, 25, 26, 40] and references therein.”
A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions (2010, background): “... [11, 12], Belmekki et al. [17, 18], Benchohra et al. [25–27, 29], Benchohra and Hamani [19, 20], Benchohra and Slimani [21], Chang and Nieto [38], Daftardar-Gejji and Jafari [40, 41], Delbosco and Rodino [44], Diethelm et al. [46–48], El-Sayed [49–51], Furati and Tatar [54, 55], Kaufmann and Mbo”