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Volumn 18, Issue 2, 2012, Pages 165-175

Corrigendum to: Existence of solutions for multi point boundary value problems for fractional differential equations (Arab Journal of Mathematical Sciences (2012) 18 (165–175), (S1319-5166(12)00003-5), (10.1016/j.ajmsc.2012.01.002));Existence of solutions for multi point boundary value problems for fractional differential equations

Author keywords

Cone; Fixed point theorem; Multi point boundary value problem; Riemann Liouville fractional derivative

Indexed keywords


EID: 84868609428     PISSN: 13195166     EISSN: 25889214     Source Type: Journal    
DOI: 10.1016/j.ajmsc.2012.11.001     Document Type: Erratum
Times cited : (18)

References (21)
  • 1
    • 77949264980 scopus 로고    scopus 로고
    • A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
    • Agarwal, R.P., Benchohra, M., Hamani, S., A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions. Acta Appl. Math. 109 (2010), 973–1033.
    • (2010) Acta Appl. Math. , vol.109 , pp. 973-1033
    • Agarwal, R.P.1    Benchohra, M.2    Hamani, S.3
  • 2
    • 64549148828 scopus 로고    scopus 로고
    • Series solutions of non-linear Riccati differential equations with fractional order
    • Cang, J., Tan, Y., Xu, H., Liao, S.J., Series solutions of non-linear Riccati differential equations with fractional order. Chaos Solitons Fractals 40:1 (2009), 1–9.
    • (2009) Chaos Solitons Fractals , vol.40 , Issue.1 , pp. 1-9
    • Cang, J.1    Tan, Y.2    Xu, H.3    Liao, S.J.4
  • 3
    • 0036650479 scopus 로고    scopus 로고
    • A predictor-corrector approach for the numerical solution of fractional differential equations
    • Diethelm, K., Ford, N., Freed, A., A predictor-corrector approach for the numerical solution of fractional differential equations. Nonlinear Dynam. 29 (2002), 3–22.
    • (2002) Nonlinear Dynam. , vol.29 , pp. 3-22
    • Diethelm, K.1    Ford, N.2    Freed, A.3
  • 4
    • 4043121080 scopus 로고    scopus 로고
    • Detailed error analysis for a fractional Adams Method
    • Diethelm, K., Ford, N., Freed, A., Detailed error analysis for a fractional Adams Method. Numer. Algorithms 36 (2004), 31–52.
    • (2004) Numer. Algorithms , vol.36 , pp. 31-52
    • Diethelm, K.1    Ford, N.2    Freed, A.3
  • 5
    • 0032115069 scopus 로고    scopus 로고
    • Nonlinear functional differential equations of arbitrary orders
    • El-Sayed, A.M.A., Nonlinear functional differential equations of arbitrary orders. Nonlinear Anal. 33 (1998), 181–186.
    • (1998) Nonlinear Anal. , vol.33 , pp. 181-186
    • El-Sayed, A.M.A.1
  • 6
    • 85070226500 scopus 로고    scopus 로고
    • Existence of solutions for a class of fractional boundary value problems via critical point theory. Comput. Math. Appl. (preprint).
    • J. Feng, Z. Yong, Existence of solutions for a class of fractional boundary value problems via critical point theory. Comput. Math. Appl. (preprint).
    • Feng, J.1    Yong, Z.2
  • 7
    • 1242327688 scopus 로고    scopus 로고
    • Differential equations of fractional order: methods, results and problems I
    • Kilbas, A.A., Trujillo, J.J., Differential equations of fractional order: methods, results and problems I. Appl. Anal. 78 (2001), 153–192.
    • (2001) Appl. Anal. , vol.78 , pp. 153-192
    • Kilbas, A.A.1    Trujillo, J.J.2
  • 8
    • 25144514177 scopus 로고    scopus 로고
    • Differential equations of fractional order: methods, results and problems II
    • Kilbas, A.A., Trujillo, J.J., Differential equations of fractional order: methods, results and problems II. Appl. Anal. 81 (2002), 435–493.
    • (2002) Appl. Anal. , vol.81 , pp. 435-493
    • Kilbas, A.A.1    Trujillo, J.J.2
  • 9
    • 77956684069 scopus 로고    scopus 로고
    • Theory and Applications of Fractional Differential Equations
    • Elsevier Science B.V Amsterdam
    • Kilbas, A.A., Srivastava, H.M., Trujillo, J.J., Theory and Applications of Fractional Differential Equations. North-Holland Mathematics Studies, Vol. 204, 2006, Elsevier Science, B.V Amsterdam.
    • (2006) North-Holland Mathematics Studies , vol.204
    • Kilbas, A.A.1    Srivastava, H.M.2    Trujillo, J.J.3
  • 10
    • 53949111458 scopus 로고    scopus 로고
    • Basic theory of fractional differential equations
    • Lakshmikantham, V., Vatsala, A.S., Basic theory of fractional differential equations. Nonlinear Anal. TMA 69:8 (2008), 2677–2682.
    • (2008) Nonlinear Anal. TMA , vol.69 , Issue.8 , pp. 2677-2682
    • Lakshmikantham, V.1    Vatsala, A.S.2
  • 11
    • 0000394603 scopus 로고
    • Multiple positive fixed points of nonlinear operators on ordered Banach spaces
    • Leggett, R.W., Williams, L.R., Multiple positive fixed points of nonlinear operators on ordered Banach spaces. Indiana Univ. Math. J. 28 (1979), 673–688.
    • (1979) Indiana Univ. Math. J. , vol.28 , pp. 673-688
    • Leggett, R.W.1    Williams, L.R.2
  • 12
    • 0001407424 scopus 로고    scopus 로고
    • The fundamental solution of the space-time fractional diffusion equation
    • Mainardi, F., Luchko, Y., Pagnini, G., The fundamental solution of the space-time fractional diffusion equation. Fract. Calc. Appl. Anal. 4 (2001), 153–192.
    • (2001) Fract. Calc. Appl. Anal. , vol.4 , pp. 153-192
    • Mainardi, F.1    Luchko, Y.2    Pagnini, G.3
  • 13
    • 0003492056 scopus 로고
    • An Introduction to the Fractional Calculus and Fractional Differential Equations
    • Wiley New York
    • Miller, K.S., Ross, B., An Introduction to the Fractional Calculus and Fractional Differential Equations. 1993, Wiley, New York.
    • (1993)
    • Miller, K.S.1    Ross, B.2
  • 14
    • 47849126401 scopus 로고    scopus 로고
    • A novel method for nonlinear fractional partial differential equations: combination of DTM and generalized Taylor's formula
    • Momani, S., Odibat, Z., A novel method for nonlinear fractional partial differential equations: combination of DTM and generalized Taylor's formula. J. Comput. Appl. Math. 220:1–2 (2008), 85–95.
    • (2008) J. Comput. Appl. Math. , vol.220 , Issue.1-2 , pp. 85-95
    • Momani, S.1    Odibat, Z.2
  • 15
    • 74149085984 scopus 로고    scopus 로고
    • An algorithm for the numerical solution of differential equations of fractional order
    • Odibat, Z., Momani, S., An algorithm for the numerical solution of differential equations of fractional order. J. Appl. Math. Inform. 26:1-2 (2008), 15–27.
    • (2008) J. Appl. Math. Inform. , vol.26 , Issue.1-2 , pp. 15-27
    • Odibat, Z.1    Momani, S.2
  • 16
    • 34548384362 scopus 로고    scopus 로고
    • Numerical methods for nonlinear partial differential equations of fractional order
    • Odibat, Z., Momani, S., Numerical methods for nonlinear partial differential equations of fractional order. Appl. Math. Modelling 32:12 (2008), 28–39.
    • (2008) Appl. Math. Modelling , vol.32 , Issue.12 , pp. 28-39
    • Odibat, Z.1    Momani, S.2
  • 17
    • 35348869861 scopus 로고    scopus 로고
    • Modified homotopy perturbation method: application to quadratic Riccati differential equation of fractional order
    • Odibat, Z., Momani, S., Modified homotopy perturbation method: application to quadratic Riccati differential equation of fractional order. Chaos Solitons Fractals 36:1 (2008), 167–174.
    • (2008) Chaos Solitons Fractals , vol.36 , Issue.1 , pp. 167-174
    • Odibat, Z.1    Momani, S.2
  • 18
    • 0003797958 scopus 로고    scopus 로고
    • Fractional Differential Equations
    • Academic Press New York
    • Podlubny, I., Fractional Differential Equations. 1999, Academic Press, New York.
    • (1999)
    • Podlubny, I.1
  • 19
    • 0003727516 scopus 로고
    • The Laplace Transform Method for Linear Differential Equations of Fractional Order
    • Slovac Academy of Science Slovak Republic
    • Podlubny, I., The Laplace Transform Method for Linear Differential Equations of Fractional Order. 1994, Slovac Academy of Science, Slovak Republic.
    • (1994)
    • Podlubny, I.1
  • 20
    • 0003598080 scopus 로고
    • Fractional Integrals and Derivatives: Theory and Applications
    • Gordon and Breach Amsterdam
    • Samko, G., Kilbas, A., Marichev, O., Fractional Integrals and Derivatives: Theory and Applications. 1993, Gordon and Breach, Amsterdam.
    • (1993)
    • Samko, G.1    Kilbas, A.2    Marichev, O.3
  • 21
    • 0001553919 scopus 로고
    • Fractional diffusion and wave equations
    • Schneider, W., Wyss, W., Fractional diffusion and wave equations. J. Math. Phys. 30 (1989), 134–144.
    • (1989) J. Math. Phys. , vol.30 , pp. 134-144
    • Schneider, W.1    Wyss, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.