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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.22 No.3
- 발행연도
- 2019.1
- 수록면
- 387 - 400 (14page)
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In this paper, we consider a nonlinear implicit fractional di erential equation with nonlocal condition and involving the Caputo fractional derivative with respect to another function. We investigate the existence, uniqueness of solution on subinterval of the original interval. Hence we give an estimation for this solution. Further, we discuss the continuous dependence of solution involved in the problem. The results obtained by means of a variety of tools fractional calculus including Banach contraction mapping principle. Illustrative examples are also given.
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참고문헌 (8)
참고문헌 신청
O. P. Agrawal / 2012 / Some generalized fractional calculus operators and their applications in integral equations / Fract. Calc. Appl. Anal 15:700~711
R. Almeida / 2017 / A Caputo fractional derivative of a function with respect to another func-tion / Commun. Nonlinear Sci. Numer. Simul 44:460~481
R. Almeida / 2018 / Fractional differential equations with a Caputo derivative with respect to a kernel function and their applications / Math. Method Appl. Sci 41:336~352
J. Dong / 2017 / A note on implicit fractional differential equations / Mathematica Aeterna 7:261~267
A. Granas / 2003 / Fixed point theory / Springer-Verlag
R. Almeida / 2017 / A Caputo fractional derivative of a function with respect to another func-tion / Commun. Nonlinear Sci. Numer. Simul 44:460~481
R. Almeida / 2018 / Fractional differential equations with a Caputo derivative with respect to a kernel function and their applications / Math. Method Appl. Sci 41:336~352
J. Dong / 2017 / A note on implicit fractional differential equations / Mathematica Aeterna 7:261~267
A. Granas / 2003 / Fixed point theory / Springer-Verlag
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