논문KCI 등재
Nonlocal boundary value problems for Hilfer fractional differential equations
1
조회
0
다운로드
2
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we initiate the study of boundary value problems involving Hilfer fractional derivatives. Several new existence and uniqueness results are obtained by using a variety of fixed point theorems. Examples illustrating our results are also presented.
Abstract
In this paper, we initiate the study of boundary value problems involving Hilfer fractional derivatives. Several new existence and uniqueness results are obtained by using a variety of fixed point theorems. Examples illustrating our results are also presented.
참고문헌 (16)
- D. W. Boyd, "On nonlinear contractions", Proc. Amer. Math. Soc, 20, pp.458~464 (1969)
- K. Diethelm, "The Analysis of Fractional Differential Equations" (2010), Springer-Verlag
- K. M. Furati, "Existence and uniqueness for a problem involving Hilfer fractional derivative", Comput. Math. Appl, 64(6), pp.1616~1626 (2012)
- A. Granas, "Fixed Point Theory, Springer Monographs in Mathematics" (2003), Springer-Verlag
- H. Gu, "Existence of mild solution for evolution equation with Hilfer fractional derivative", Appl. Math. Comput, 257, pp.344~354 (2015)
- R. Hilfer, "Applications of Fractional Calculus in Physics" (2000), World Scientific Publishing Co., Inc.
- R. Hilfer, "Applications of fractional calculus in physics", pp.87~130 (2000), World Sci. Publ.
- R. Hilfer, "Operational method for the solution of fractional differential equations with generalized Riemann-Liouville fractional derivatives", Fract. Calc. Appl. Anal, 12(3), pp.299~318 (2009)
- A. A. Kilbas, "Theory and Applications of the Fractional Differential Equations", North-Holland Mathematics Studies, 204 (2006), Elsevier Science B.V.
- M. A. Krasnoselski, "Two remarks on the method of successive approximations", Uspehi Mat. Nauk (N.S.), 10(1)통권 : 63, pp.123~127 (1955)
- V. Lakshmikantham, "Theory of Fractional Dynamic Systems" (2009), Cambridge Scientific Publishers
- K. S. Miller, "An Introduction to the Fractional Calculus and Differential Equations" (1993), A Wiley-Interscience Publication, John Wiley & Sons, Inc.
- I. Podlubny, "Fractional Differential Equations" (1999), Academic Press, Inc.
- S. G. Samko, "Fractional Integrals and Derivatives" (1993), Gordon and Breach Science Publishers
- J. Wang, "Nonlocal initial value problems for differential equations with Hilfer fractional derivative", Appl. Math. Comput, 266, pp.850~859 (2015)
- Y. Zhou, "Basic Theory of Fractional Differential Equations" (2014), World Scientific Publishing Co. Pte. Ltd.
관련 논문AI추천
Boundary value problems for differential equations of non-integer order involving Caputo fractional derivativeD.B.Dhaigude, J.A.Nanware장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제3호On the Boundary Value Problems of Ψ-Hilfer Fractional Differential EquationsAshwini Dhondiram Mali, Kishor Deoman Kucche경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2024 · 제64권 제4호Fractional differential equations with nonlocal boundary conditionsAgus L. Soenjaya대한수학회 · 대한수학회논문집2022 · 제37권 제2호Higher order nonlocal nonlinear boundary value problems for fractional differential equationsRahmat Ali Khan대한수학회 · 대한수학회보2014 · 제51권 제2호On nonlinear fractional integro-differential equations with two boundary conditionsMACHINDRA B. DHAKNE, SABRI T. M. THABET장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제3호Existence of solutions of a class of impulsive periodic type BVPs for singular fractional differential systemsYuji Liu강원경기수학회 · 한국수학논문집2015 · 제23권 제1호
이 간행물의 다른 논문 (21건)
Skew cyclic codes over $\mathbb{F}_p+v\mathbb{F}_p+v^2\mathbb{F}_p$Ahmad Moussavi, Hamed Mousavi, Saeed Rahimipp. 1627-1638On a Waring-Goldbach problem involving squares, cubes and biquadratesYuhui Liupp. 1659-1666On the minimum order of 4-lazy cops-win graphsKai An Sim, Kok Bin Wong, Ta Sheng Tanpp. 1667-1690On the location of eigenvalues of real constant row-sum matricesRachid Marsli, Frank J. Hallpp. 1691-1701Fourth Hankel determinant for the family of functions with bounded turningMuhammad Arif, Lubna Rani, Mohsan Raza, Pawel Zaprawapp. 1703-1711
