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Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative |
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| Authors: | Zhongli Wei Qingdong Li |
| Affiliation: | a Department of Mathematics, Shandong Jianzhu University, Jinan, Shandong, 250101, People's Republic of China b School of Mathematics and System Sciences, Shandong University, Jinan, Shandong, 250100, People's Republic of China |
| Abstract: | In this paper, we shall discuss the properties of the well-known Mittag-Leffler function, and consider the existence and uniqueness of solution of the initial value problem for fractional differential equation involving Riemann-Liouville sequential fractional derivative by using monotone iterative method. |
| Keywords: | Initial value problem Fractional differential equation Riemann-Liouville sequential fractional derivatives Upper solution and lower solution |
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