A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative
详细信息 查看全文
- 作者：Dumitru Baleanu ; Asef Mousalou ; Shahram Rezapour
- 关键词：approximate solution ; Caputo ; Fabrizio derivative ; fractional integro ; differential equation ; generalized α ; contractive map
- 刊名：Advances in Difference Equations
- 出版年：2017
- 出版时间：December 2017
- 年：2017
- 卷：2017
- 期：1
- 全文大小：1320KB
- 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
- 出版者：Springer International Publishing
- ISSN：1687-1847
- 卷排序：2017
文摘
We present a new method to investigate some fractional integro-differential equations involving the Caputo-Fabrizio derivation and we prove the existence of approximate solutions for these problems. We provide three examples to illustrate our main results. By checking those, one gets the possibility of using some discontinuous mappings as coefficients in the fractional integro-differential equations.