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Existence Results for Fractional Integrodifferential Systems with Interval Impulse via Sectorial Operator

Year 2019, Volume: 2 Issue: 4, 169 - 181, 25.12.2019

Abstract

This paper focuses on the existence results for nonlocal fractional integrodifferential equations with interval impulses and measure of noncompactness using M\"{o}nch fixed point theorem and sectorial operator. At the end of this paper, an example is given to illustrate the applications of the abstract results.

References

  • [1] Wang, J., Zhou, Y., Fecckan, M.: On recent developments in the theory of boundaryvalue problems for impulsive fractional differential equations, Comput. Math. Appl. 64,3008-3020 (2012)
  • [2] Ahmad, B., Ntouyas, S.K., and Alsaedi, A.: New existence results for nonlinear fractionaldifferential equations with three-point integral boundary conditions, Advances inDi erence Equations, Volume 2011, Article ID 107384, 11 pages
  • [3] Zhang, X.: Existence and iteration of positive solutions for high-order fractional differentialequations with integral conditions on a half-line, Journal of applied mathematicsand Computing, 45, 137-150 (2014)
Year 2019, Volume: 2 Issue: 4, 169 - 181, 25.12.2019

Abstract

References

  • [1] Wang, J., Zhou, Y., Fecckan, M.: On recent developments in the theory of boundaryvalue problems for impulsive fractional differential equations, Comput. Math. Appl. 64,3008-3020 (2012)
  • [2] Ahmad, B., Ntouyas, S.K., and Alsaedi, A.: New existence results for nonlinear fractionaldifferential equations with three-point integral boundary conditions, Advances inDi erence Equations, Volume 2011, Article ID 107384, 11 pages
  • [3] Zhang, X.: Existence and iteration of positive solutions for high-order fractional differentialequations with integral conditions on a half-line, Journal of applied mathematicsand Computing, 45, 137-150 (2014)
There are 3 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Malar Kandasamy 0000-0002-5143-7048

Anguraj Annamalai

Publication Date December 25, 2019
Published in Issue Year 2019 Volume: 2 Issue: 4

Cite

APA Kandasamy, M., & Annamalai, A. (2019). Existence Results for Fractional Integrodifferential Systems with Interval Impulse via Sectorial Operator. Results in Nonlinear Analysis, 2(4), 169-181.
AMA Kandasamy M, Annamalai A. Existence Results for Fractional Integrodifferential Systems with Interval Impulse via Sectorial Operator. RNA. December 2019;2(4):169-181.
Chicago Kandasamy, Malar, and Anguraj Annamalai. “Existence Results for Fractional Integrodifferential Systems With Interval Impulse via Sectorial Operator”. Results in Nonlinear Analysis 2, no. 4 (December 2019): 169-81.
EndNote Kandasamy M, Annamalai A (December 1, 2019) Existence Results for Fractional Integrodifferential Systems with Interval Impulse via Sectorial Operator. Results in Nonlinear Analysis 2 4 169–181.
IEEE M. Kandasamy and A. Annamalai, “Existence Results for Fractional Integrodifferential Systems with Interval Impulse via Sectorial Operator”, RNA, vol. 2, no. 4, pp. 169–181, 2019.
ISNAD Kandasamy, Malar - Annamalai, Anguraj. “Existence Results for Fractional Integrodifferential Systems With Interval Impulse via Sectorial Operator”. Results in Nonlinear Analysis 2/4 (December 2019), 169-181.
JAMA Kandasamy M, Annamalai A. Existence Results for Fractional Integrodifferential Systems with Interval Impulse via Sectorial Operator. RNA. 2019;2:169–181.
MLA Kandasamy, Malar and Anguraj Annamalai. “Existence Results for Fractional Integrodifferential Systems With Interval Impulse via Sectorial Operator”. Results in Nonlinear Analysis, vol. 2, no. 4, 2019, pp. 169-81.
Vancouver Kandasamy M, Annamalai A. Existence Results for Fractional Integrodifferential Systems with Interval Impulse via Sectorial Operator. RNA. 2019;2(4):169-81.