On fractional neutral Volterra-Fredholm integro-differential systems with non-instantaneous impulses in Banach space
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DOI:
https://doi.org/10.26637/MJM0804/0156Abstract
The primary objective of this paper is to analyze the existence of \(PC\)-mild solution of fractional neutral VolterraFredholm integro-differential systems with non-instantaneous impulses in Banach spaces. Based on the Banach contraction principle, we develop the main results. An example is given to support the validation of the theoretical results achieved.
Keywords:
Fractional neutral equations, mild solution, non-instantaneous impulses, fixed point theoremMathematics Subject Classification:
Mathematics- Pages: 2243-2247
- Date Published: 01-10-2020
- Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
X. Fu, X. Liu and B. Lu, On a new class of impulsive fractional evolution equations, Advances in Difference Equations, ( 2015) 2015:227.
E. Hernández and D. O'Regan, On a new class of abstract impulsive differential equations, Proc.Amer. Math. Soc., 141 (2013), 1641-1649.
A.A. Kilbas, H.M. Srivastava and J.J. Trujillo, Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies, vol. 204. Elsevier, Amsterdam, 2006.
M. Mallika Arjunan, Existence results for nonlocal fractional mixed type integro-differential equations with noninstantaneous impulses in Banach space, Malaya Journal of Matematik, 7(4)(2019), 837-840.
Y. Zhou and F. Jiao, Nonlocal Cauchy problem for fractional evolution equations, Nonlinear Anal., Real World Appl. 11(2010), 4465-4475.
Y. Zhou and F. Jiao, Existence of mild solutions for fractional neutral evolution equations, Comput. Math. Appl., 59(2010), 1063-1077.
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