Existence of solutions of nonlocal fractional mixed type integro-differential equations with non-instantaneous impulses in Banach space
Downloads
DOI:
https://doi.org/10.26637/MJM0804/0150Abstract
The key purpose of this manuscript is to examine the existence and uniqueness of \(PC\)-mild solution of nonlocal fractional mixed type integro-differential equations with non-instantaneous impulses in Banach space. Based on the general Banach contraction principle, we develop the main results.
Keywords:
Fractional differential equations, mild solution, non-instantaneous impulses, fixed point theoremMathematics Subject Classification:
Mathematics- Pages: 2204-2207
- Date Published: 01-10-2020
- Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
J. Borah and S. N. Bora, Existence of mild solution of a class of a class of nonlocal fractional order differential equation with not instantaneous impulses, Fractional Calculus & Applied Analysis, 22(2)(2019), 495-508.
X. Fu, X. Liu and B. Lu, On a new class of impulsive fractional evolution equations, Advances in Difference Equations, ( 2015) 2015:227.
Ganga Ram Gautham and JeydevDabas, Mild solution for nonlocal fractional functional differential equation with not instantaneous impulse, International Journal of Nonlinear Science, 21(3)(2016), 151-160.
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.
B. Zhu, B. Han, L. Liu and W. Yu, On the fractional partial integro-differential equations of mixed type with non-instantaneous impulses, Boundary Value Problems, (2020), 2020:154
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., $59(2010)+1063-1077$
- NA
Similar Articles
- K.C. Rajendra Prasad, Venkanagouda M. Goudar, K.M. Niranjan, Pathos edge semi-middle graph of a tree , Malaya Journal of Matematik: Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
- Rajendra Prasad K C, Niranjan K M, Venkanagouda M Goudar, Vertex semi-middle graph of a graph , Malaya Journal of Matematik: Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2020 MJM

This work is licensed under a Creative Commons Attribution 4.0 International License.