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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.24 No.4
- 발행연도
- 2019.1
- 수록면
- 827 - 836 (10page)
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The main objective of this paper is to investigate and prove the existence and uniqueness theorems of the solution of nonlinear Volterra-Fredholm integro-differential equations of fractional order. The theorems of two types for the nonlinear fractional order Volterra-Fredholm integro-di erential equations such as one- and two-dimensional are proved by applying the fixed point theorem of Banach space couple with contraction mapping principle, in which the su cient conditions are presented in order to ensure the existence and uniqueness of a unique xed point related to the Volterra-Fredholm integro-di erential equation in operator form.
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참고문헌 (32)
참고문헌 신청
B. Ahmad / 2008 / Some existence results for fractional integro-differential equations with nonlinear conditions / Commun. Appl. Anal 12:107~112
D. Bahuguna / 2008 / Existence and uniqueness of a solution to a partial integrodifferential equation by the method of Lines / Elect. J. of Qualitative Theory of Diffe. Equa 4:1~12
K. Balachandran / 2010 / The nonlocal Cauchy problem for nonlinear fractional integro-differential equations in Banach spaces / Nonlinear Anal. TMA 72:4587~4593
A. Hamoud / 2018 / The approximate solutions of fractional Volterra-Fredholm integro-differential equations by using analytical techniques / Probl. Anal. Issues Anal. 25(1):41~58
A. Hamoud / 2018 / Modified Laplace decomposition method for fractional Volterra-Fredholm integro-differential equations / J. Math. Model 6(1):91~104
D. Bahuguna / 2008 / Existence and uniqueness of a solution to a partial integrodifferential equation by the method of Lines / Elect. J. of Qualitative Theory of Diffe. Equa 4:1~12
K. Balachandran / 2010 / The nonlocal Cauchy problem for nonlinear fractional integro-differential equations in Banach spaces / Nonlinear Anal. TMA 72:4587~4593
A. Hamoud / 2018 / The approximate solutions of fractional Volterra-Fredholm integro-differential equations by using analytical techniques / Probl. Anal. Issues Anal. 25(1):41~58
A. Hamoud / 2018 / Modified Laplace decomposition method for fractional Volterra-Fredholm integro-differential equations / J. Math. Model 6(1):91~104
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