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On a solution to fractional order integrodifferential equations with analytic semigroups |
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| Authors: | Dwijendra N. Pandey Amit Ujlayan |
| Affiliation: | Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur 208016, India |
| Abstract: | In this paper we study a class of fractional order integrodifferential equations considered in an arbitrary Banach space. Using the theory of analytic semigroups we establish the existence, uniqueness and regularity of a mild solution to these fractional order integrodifferential equations. |
| Keywords: | Fractional order differential equation Parabolic equation Analytic semigroup Mild solution Local and global existence and uniqueness |
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