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Local and global existence of mild solution to an impulsive fractional functional integro-differential equation with nonlocal condition |
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| Institution: | 1. Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi 221005, India;2. Department of Civil and Architectural Engineering, City University of Hong Kong, Hong Kong, China;1. Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi 221005, India;2. Department of Civil and Architectural Engineering, City University of Hong Kong, Hong Kong, China;3. Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India |
| Abstract: | This paper is concerned with the local and global existence of mild solution for an impulsive fractional functional integro differential equations with nonlocal condition. We establish a general framework to find the mild solutions for impulsive fractional integro-differential equations, which will provide an effective way to deal with such problems. The results are obtained by using the fixed point technique and solution operator on a complex Banach space. |
| Keywords: | Fractional differential equation Solution operator Mild solution Impulsive condition |
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