The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces

By Krishnan Balachandran, Juan Trujillo. Nonlinear Analysis, 2010

191 citations recorded by the source corpus.

Abstract In this paper we prove the existence of solutions of certain kinds of nonlinear fractional integrodifferential equations in Banach spaces. Further, Cauchy problems with nonlocal initial conditions are discussed for the aforementioned fractional integrodifferential equations. At the end, an example is presented.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/e80ff51f841756233410f214b098e04666af8f47

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In Applied Mathematics

1. Yongxiang Li
2. Pengyu Chen
3. J. Henderson
4. Rodica Luca
5. Xuping Zhang
6. Sotiris K. Ntouyas
7. Mouffak Benchohra
8. Jinrong Wang

In Modeling and Simulation

1. Yongxiang Li
2. Pengyu Chen
3. Rodica Luca
4. J. Henderson
5. Xuping Zhang

Citations in the corpus

• Positive solutions for a system of nonlocal fractional boundary value problems (2013, background): “For some recent developments on the topic, see [1]-[7], [9], [11]-[12], [19], [22] and the references therein.”
• Existence of mild solutions for fractional evolution equations with mixed monotone nonlocal conditions (2013, methodology): “Recently, Wang and Yang [16]; Wang, Xiao, and Liang [17]; Li, Liang, and Xu [18]; Zhou and Jiao [19]; Wang et al. [20]; Balachandran and Park [21]; Balachandran and Trujillo [22]; Balachandran, Kiruthika, and Trujillo [23]; Chang, Kavitha, and Mallika Arjunan [24]; and Tatar [25] studied nonlocal pr”