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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.3
- 발행연도
- 2021.9
- 수록면
- 497 - 512 (16page)
- DOI
- 10.22771/nfaa.2021.26.03.04
이용수
초록· 키워드
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In this paper, we study the analyticaland approximate solutions for a fractional quadratic integral equationinvolving Katugampola fractional integral operator. The existence anduniqueness results obtained in the given arrangement are not only new butalso yield some new particular results corresponding to special values ofthe parameters $\rho $ and $\vartheta $. The main results are obtained byusing Banach fixed point theorem, Picard Method, and Adomian decompositionmethod. An illustrative example is given to justify the main results.
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참고문헌 (35)
참고문헌 신청
G. Adomian / 1983 / Stochastic system / Academic press
G. Adomian / 1989 / Nonlinear Stochastis system theory and applications to Physics / Kluwer Academic Publishers
G. Adomian / 1995 / Solving frontier problems of physics: the decomposition method / Kluwer
J. Bana´s / 1998 / Existence theorems for some quadratic integral equations / J. Math. Anal. Appl 222(1):276~285
N. Bellomo / 1987 / On Adomian’s decomposition method and some comparisons with Picard’s iterative scheme / J. Math. Anal. Appl 123(2):389~400
G. Adomian / 1989 / Nonlinear Stochastis system theory and applications to Physics / Kluwer Academic Publishers
G. Adomian / 1995 / Solving frontier problems of physics: the decomposition method / Kluwer
J. Bana´s / 1998 / Existence theorems for some quadratic integral equations / J. Math. Anal. Appl 222(1):276~285
N. Bellomo / 1987 / On Adomian’s decomposition method and some comparisons with Picard’s iterative scheme / J. Math. Anal. Appl 123(2):389~400
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