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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.26 No.4
- 발행연도
- 2021.12
- 수록면
- 793 - 809 (17page)
- DOI
- 10.22771/nfaa.2021.26.04.09
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초록· 키워드
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This paper gives sufficient conditions to ensure the existence and stability of solutions for generalized nonlinear fractional integrodifferential equations of order $\alpha$ ($1 < \alpha < 2$). The main theorem asserts the stability results in a weighted Banach space, employing the Krasnoselskii's fixed point technique and the existence of at least one mild solution satisfying the asymptotic stability condition. Two examples are provided to illustrate the theory.
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참고문헌 (25)
참고문헌 신청
N. Abdellouahab / 2022 / Existence and stability results of a nonlinear fractional integro-differential equation with integral boundary conditions / Kragujev. J. Math 46:685~699
R. Almeida / 2017 / A Caputo fractional derivative of a function with respect to another function / Commun. Nonlinear Sci. Numer. Simul 44:460~481
R. Almeida / 2016 / Fractional differential equations with dependence on the Caputo-Katugampola derivative / J. Comput. Nonlinear Dyn 11:11
A. Ardjouni / 2018 / Stability in higher-order nonlinear fractional differential equations / Acta et Comment. Univ. Tartu. de Math 22:37~47
K. Balachandran / 2017 / Controllability of nonlinear neutral fractional integrodifferential systems with infinite delay / J. Appl. Nonlinear Dyn 6:333~344
R. Almeida / 2017 / A Caputo fractional derivative of a function with respect to another function / Commun. Nonlinear Sci. Numer. Simul 44:460~481
R. Almeida / 2016 / Fractional differential equations with dependence on the Caputo-Katugampola derivative / J. Comput. Nonlinear Dyn 11:11
A. Ardjouni / 2018 / Stability in higher-order nonlinear fractional differential equations / Acta et Comment. Univ. Tartu. de Math 22:37~47
K. Balachandran / 2017 / Controllability of nonlinear neutral fractional integrodifferential systems with infinite delay / J. Appl. Nonlinear Dyn 6:333~344
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