Analysis of a system of fractional differential equations

By Varsha Daftardar-Gejji, Azizollah Babakhani. 2004

198 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/907963206030948bf2e775e315f35b15a8835935

How researchers see this paper

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

In Applied Mathematics

1. Hossein Jafari
2. Varsha Daftardar-Gejji
3. Changpin Li
4. Zhanbing Bai
5. Weihua Deng
6. Syed Abbas
7. C. Neto
8. P. de

In Modeling and Simulation

1. Hossein Jafari
2. Weihua Deng
3. Varsha Daftardar-Gejji
4. Changpin Li
5. Zhanbing Bai
6. Syed Abbas
7. C. Neto
8. P. de

In Numerical Analysis

1. Hossein Jafari
2. Varsha Daftardar-Gejji
3. Changpin Li
4. Zhanbing Bai
5. Weihua Deng
6. Syed Abbas
7. C. Neto
8. P. de

Citations in the corpus

• Remarks on fractional derivatives (2007, methodology): “So the Caputo fractional-order systems are often used in modelling and analysis [4–6,15–29].”
• Solving a system of nonlinear fractional differential equations using Adomian decomposition (2006, background): “Daftardar-Gejji and Babakhani [6] have presented analysis of system of FDE, wherein existence and uniqueness theorems for the initial value problem for the system of FDE have been proved.”
• FOR BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION (2008, unknown): “[5] Let X be a Banach space, P ⊆ X a cone, and Ω1, Ω2 are two bounded open balls of X centered at the origin with Ω1 ⊂ Ω2.”
• Positive solutions for boundary value problem of nonlinear fractional differential equation (2005, unknown): “), see [2, 3, 5, 11, 12].”
• On positive solutions of a nonlocal fractional boundary value problem (2010, background): “For details, see [7,8,1,9–12,4–6,3, 13–15] and the references therein.”
• 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.”
• Fractional differential equations: a novel study of local and global solutions in Banach spaces (2013, background): “The basic ideas of the proofs done in this section are taken from [22, 42, 57].”
• Adomian decomposition: a tool for solving a system of fractional differential equations (2005, background): “Daftardar-Gejji and Babakhani [6] have earlier presented analysis of a system of FDE.”
• Analysis of a system of nonautonomous fractional differential equations involving Caputo derivatives (2007, unknown): “Analysis of fractional differential equations has been carried out by various researchers [2,4–6].”