Basic theory of fractional differential equations |
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| Authors: | V. Lakshmikantham A.S. Vatsala |
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| Affiliation: | 1. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA;2. Department of Mathematics, University of Louisiana Lafayette, Lafayette, LA 70504, USA |
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| Abstract: | In this paper, the basic theory for the initial value problem of fractional differential equations involving Riemann–Liouville differential operators is discussed employing the classical approach. The theory of inequalities, local existence, extremal solutions, comparison result and global existence of solutions are considered. |
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| Keywords: | 34A12 34A40 34A99 |
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