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A strategic view on the consequences of classical integral sub-strips and coupled non-local multi-point boundary conditions on a combined Caputo fractional differential equation

M. SUBRAMANIAN|A.R. VIDHYA KUMAR|T. NANDHA GOPAL
장전수학회 (Jangjeon Mathematical Society)|2019.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제22권 제3호|pp. 437-454|DOI 10.17777/pjms.2019.22.3.008

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참고문헌

키워드

ExistenceFixed pointFractional di erential equationCaputo derivativeNonlocalIntegral boundary condition
주제분류수학

초록

A versatile and unique approach has been handled with a combined Caputo di erential equation with integral sub-strip boundary conditions and also with ally non local conditions. For the validity and applicability of the above problem we have proposed a convergent and stable method. Sucient example has also been supplemented to substantiate the proof.

Abstract

A versatile and unique approach has been handled with a combined Caputo di erential equation with integral sub-strip boundary conditions and also with ally non local conditions. For the validity and applicability of the above problem we have proposed a convergent and stable method. Sucient example has also been supplemented to substantiate the proof.

참고문헌 (17)

  1. I. Podlubny, "Fractional Differential Equations: An Introduction to Fractional Derivatives, Frac-tional Differential Equations, Some Methods of Their Solution and Some of Their Applications" (1999), Academic Press
  2. J. Sabatier, "Advances in fractional calculus: theo-retical developments and applications in physics and engineering" (2007), Springer Netherlands
  3. K. S. Miller, "An Introduction to the Fractional Calculus and Fractional Differential Equations" (1993), Wiley
  4. B. Ahmad, "Existence results for fractional-order differential equations with nonlocal multi-point-strip conditions involving Caputo derivative", Adv. Difference Equ. (2015)[DOI]
  5. J. Tariboon, "Coupled systems of riemann-liouville fractional differential equations with hadamard fractional integral boundary conditions", J. Nonlinear Sci. Appl., 9, pp.295~308 (2016)
  6. JR. Wang, "Analysis of fractional order differential coupled systems", Math. Meth-ods Appl. Sci., 38, pp.3322~3338 (2015)
  7. Y. Liu, "Existence of solutions for a coupled system of nonlinear fractional differential equations with fractional boundary conditions", Adv. Difference Equ., 46, pp.1~19 (2013)
  8. S. Aljoudi, "A coupled system of hadamard type sequential fractional differential equations with coupled strip conditions", Chaos Solitons Fractals, 91, pp.39~46 (2016)
  9. J. Henderson, "Nonexistence of positive solutions for a system of coupled fractional boundary value problems", Bound. Value Probl., 138, pp.1~12 (2015)
  10. SK. Ntouyas, "On the existence of solutions for fractional differential inclu-sions with sum and integral boundary conditions", Appl. Math. Comput., 266, pp.235~246 (2015)
  11. B. Ahmad, "Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions", Appl. Math. Com-put., 266, pp.615~622 (2015)
  12. Bashir Ahmad, "WITHDRAWN: Existence results for Liouville–Caputo type fractional differential equations with nonlocal multi-point and sub-strips boundary conditions", Computers & Mathematics with Applications (2016), Elsevier BV[DOI]
  13. Ravi P. Agarwal, "Existence results for coupled nonlinear fractional differential equations equipped with nonlocal coupled flux and multi-point boundary conditions", Chaos, Solitons & Fractals, 102, pp.149~161 (2017), Elsevier BV[DOI]
  14. B. Ahmad, "Existence results for sequential fractional integro-differential equations with nonlocal multi-point and strip conditions", Fract. Calc. Appl. Anal., 18, pp.261~280 (2015)
  15. K. Diethelm, "The Analysis of Fractional Differential Equations" (2010), Springer
  16. A.A. Kilbas, "Theory and applications of fractional differen-tial equations" (2006), Elsevier
  17. J. Klafter, "Fractional dynamics: Recent advances" (2012), World Scientific

관련 논문AI추천

A writ large analysis of complex order coupled differential equation in the course of coupled non-local multi-point boundary conditionsA.R. VIDHYA KUMAR, M. SUBRAMANIAN, T. NANDHA GOPAL장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제4호Higher order nonlocal nonlinear boundary value problems for fractional differential equationsRahmat Ali Khan대한수학회 · 대한수학회보2014 · 제51권 제2호Numerical method for a system of Caputo fractional differential equations with non-local boundary conditionsAyyadurai Tamilselvan, S. Joe Christin Mary대한수학회 · 대한수학회논문집2023 · 제38권 제1호Boundary value problems for differential equations of non-integer order involving Caputo fractional derivativeD.B.Dhaigude, J.A.Nanware장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제3호Nonlinear implicit fractional differential equation involving -Caputo fractional derivativeAHMED G. IBRAHIM, MOHAMMED S. ABDO, SATISH K. PANCHAL장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제3호Existence and Uniqueness Results for a Coupled System of Nonlinear Fractional Langevin EquationsMuralisankar Subramanian, Santhi Antony, Sushma Basil경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제3호

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