메뉴 건너뛰기




Volumn 2013, Issue , 2013, Pages

A study of nonlinear fractional q -difference equations with nonlocal integral boundary conditions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84887689390     PISSN: 10853375     EISSN: 16870409     Source Type: Journal    
DOI: 10.1155/2013/410505     Document Type: Article
Times cited : (18)

References (31)
  • 5
    • 76649111047 scopus 로고    scopus 로고
    • On the global existence of solutions to a class of fractional differential equations
    • 10.1016/j.camwa.2009.08.028 MR2595957 ZBL1189.34006
    • Bǎleanu D., Mustafa O. G., On the global existence of solutions to a class of fractional differential equations. Computers & Mathematics with Applications 2010 59 5 1835 1841 10.1016/j.camwa.2009.08.028 MR2595957 ZBL1189.34006
    • (2010) Computers & Mathematics with Applications , vol.59 , Issue.5 , pp. 1835-1841
    • Bǎleanu, D.1    Mustafa, O.G.2
  • 6
    • 80052260699 scopus 로고    scopus 로고
    • On L p -solutions for a class of sequential fractional differential equations
    • 10.1016/j.amc.2011.07.024 MR2831483
    • Bǎleanu D., Mustafa O. G., Agarwal R. P., On L p -solutions for a class of sequential fractional differential equations. Applied Mathematics and Computation 2011 218 5 2074 2081 10.1016/j.amc.2011.07.024 MR2831483
    • (2011) Applied Mathematics and Computation , vol.218 , Issue.5 , pp. 2074-2081
    • Bǎleanu, D.1    Mustafa, O.G.2    Agarwal, R.P.3
  • 7
    • 79960976705 scopus 로고    scopus 로고
    • Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions
    • 10.1016/j.camwa.2011.03.001 MR2824708 ZBL1228.34009
    • Agarwal R. P., Ahmad B., Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions. Computers & Mathematics with Applications 2011 62 3 1200 1214 10.1016/j.camwa.2011.03. 001 MR2824708 ZBL1228.34009
    • (2011) Computers & Mathematics with Applications , vol.62 , Issue.3 , pp. 1200-1214
    • Agarwal, R.P.1    Ahmad, B.2
  • 8
    • 84863447182 scopus 로고    scopus 로고
    • Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions
    • MR2851530 ZBL06200107
    • Ahmad B., Nieto J. J., Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions. Boundary Value Problems 2011 2011, article 36 MR2851530 ZBL06200107
    • (2011) Boundary Value Problems
    • Ahmad, B.1    Nieto, J.J.2
  • 10
    • 80052033987 scopus 로고    scopus 로고
    • Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces
    • 10.1016/j.nonrwa.2011.02.017 MR2832937 ZBL1231.35155
    • Akyildiz F. T., Bellout H., Vajravelu K., Van Gorder R. A., Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces. Nonlinear Analysis. Real World Applications 2011 12 6 2919 2930 10.1016/j.nonrwa.2011.02.017 MR2832937 ZBL1231.35155
    • (2011) Nonlinear Analysis. Real World Applications , vol.12 , Issue.6 , pp. 2919-2930
    • Akyildiz, F.T.1    Bellout, H.2    Vajravelu, K.3    Van Gorder, R.A.4
  • 11
    • 84868204874 scopus 로고    scopus 로고
    • Sequential fractional differential equations with three-point boundary conditions
    • 10.1016/j.camwa.2012.02.036 MR2989333 ZBL1268.34006
    • Ahmad B., Nieto J. J., Sequential fractional differential equations with three-point boundary conditions. Computers & Mathematics with Applications 2012 64 10 3046 3052 10.1016/j.camwa.2012.02.036 MR2989333 ZBL1268.34006
    • (2012) Computers & Mathematics with Applications , vol.64 , Issue.10 , pp. 3046-3052
    • Ahmad, B.1    Nieto, J.J.2
  • 12
    • 84887810871 scopus 로고    scopus 로고
    • Application of the mixed monotone operator method to fractional boundary value problems
    • Graef J. R., Kong L., Kong Q., Application of the mixed monotone operator method to fractional boundary value problems. Fractional Differential Calculus 2011 2 554 567
    • (2011) Fractional Differential Calculus , vol.2 , pp. 554-567
    • Graef, J.R.1    Kong, L.2    Kong, Q.3
  • 14
    • 84974177889 scopus 로고
    • Some fractional q -integrals and q -derivatives
    • MR0218848 10.1017/S0013091500011469
    • Al-Salam W. A., Some fractional q -integrals and q -derivatives. Proceedings of the Edinburgh Mathematical Society 1966 15 135 140 MR0218848 10.1017/S0013091500011469
    • (1966) Proceedings of the Edinburgh Mathematical Society , vol.15 , pp. 135-140
    • Al-Salam, W.A.1
  • 15
    • 35748962937 scopus 로고    scopus 로고
    • Fractional q -calculus on a time scale
    • 10.2991/jnmp.2007.14.3.4 MR2350094
    • Atici F. M., Eloe P. W., Fractional q -calculus on a time scale. Journal of Nonlinear Mathematical Physics 2007 14 3 333 344 10.2991/jnmp.2007.14.3.4 MR2350094
    • (2007) Journal of Nonlinear Mathematical Physics , vol.14 , Issue.3 , pp. 333-344
    • Atici, F.M.1    Eloe, P.W.2
  • 16
    • 79958719410 scopus 로고    scopus 로고
    • Linear systems of fractional nabla difference equations
    • 10.1216/RMJ-2011-41-2-353 MR2794443 ZBL1218.39003
    • Atici F. M., Eloe P. W., Linear systems of fractional nabla difference equations. The Rocky Mountain Journal of Mathematics 2011 41 2 353 370 10.1216/RMJ-2011-41-2-353 MR2794443 ZBL1218.39003
    • (2011) The Rocky Mountain Journal of Mathematics , vol.41 , Issue.2 , pp. 353-370
    • Atici, F.M.1    Eloe, P.W.2
  • 17
    • 79953286192 scopus 로고    scopus 로고
    • Two-point boundary value problems for finite fractional difference equations
    • 10.1080/10236190903029241 MR2783359 ZBL1215.39002
    • Atici F. M., Eloe P. W., Two-point boundary value problems for finite fractional difference equations. Journal of Difference Equations and Applications 2011 17 4 445 456 10.1080/10236190903029241 MR2783359 ZBL1215.39002
    • (2011) Journal of Difference Equations and Applications , vol.17 , Issue.4 , pp. 445-456
    • Atici, F.M.1    Eloe, P.W.2
  • 18
    • 84860466937 scopus 로고    scopus 로고
    • Positive solutions for boundary value problem of nonlinear fractional q -difference equation
    • 385459 MR2793792
    • El-Shahed M., Al-Askar F. M., Positive solutions for boundary value problem of nonlinear fractional q -difference equation. ISRN Mathematical Analysis 2011 2011 12 385459 MR2793792
    • (2011) ISRN Mathematical Analysis , vol.2011 , pp. 12
    • El-Shahed, M.1    Al-Askar, F.M.2
  • 19
    • 78651236363 scopus 로고    scopus 로고
    • Positive solutions for a class of boundary value problems with fractional q -differences
    • 10.1016/j.camwa.2010.11.012 MR2754144
    • Ferreira R. A. C., Positive solutions for a class of boundary value problems with fractional q -differences. Computers & Mathematics with Applications 2011 61 2 367 373 10.1016/j.camwa.2010.11.012 MR2754144
    • (2011) Computers & Mathematics with Applications , vol.61 , Issue.2 , pp. 367-373
    • Ferreira, R.A.C.1
  • 21
    • 78651230726 scopus 로고    scopus 로고
    • Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
    • 10.1016/j.camwa.2010.10.041 MR2754129 ZBL1211.39002
    • Goodrich C. S., Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions. Computers & Mathematics with Applications 2011 61 2 191 202 10.1016/j.camwa.2010.10.041 MR2754129 ZBL1211.39002
    • (2011) Computers & Mathematics with Applications , vol.61 , Issue.2 , pp. 191-202
    • Goodrich, C.S.1
  • 22
    • 84860430866 scopus 로고    scopus 로고
    • Positive solutions for a class of higher order boundary value problems with fractional q -derivatives
    • 10.1016/j.amc.2012.03.006 MR2916148
    • Graef J. R., Kong L., Positive solutions for a class of higher order boundary value problems with fractional q -derivatives. Applied Mathematics and Computation 2012 218 19 9682 9689 10.1016/j.amc.2012.03.006 MR2916148
    • (2012) Applied Mathematics and Computation , vol.218 , Issue.19 , pp. 9682-9689
    • Graef, J.R.1    Kong, L.2
  • 23
    • 85086493322 scopus 로고    scopus 로고
    • Existence of solutions for multi-point boundary value problem of fractional q -difference equation
    • MR2861421
    • Ma J., Yang J., Existence of solutions for multi-point boundary value problem of fractional q -difference equation. Electronic Journal of Qualitative Theory of Differential Equations 2011 92 1 10 MR2861421
    • (2011) Electronic Journal of Qualitative Theory of Differential Equations , vol.92 , pp. 1-10
    • Ma, J.1    Yang, J.2
  • 24
    • 84876541890 scopus 로고    scopus 로고
    • New applications of the variational iteration methodfrom differential equations to q -fractional difference equations
    • article 21
    • Wu G. C., Baleanu D., New applications of the variational iteration methodfrom differential equations to q -fractional difference equations. Advances in Difference Equations 2013 2013, article 21
    • (2013) Advances in Difference Equations , vol.2013
    • Wu, G.C.1    Baleanu, D.2
  • 25
    • 84866356793 scopus 로고    scopus 로고
    • Stability of q -fractional non-autonomous systems
    • 10.1016/j.nonrwa.2012.08.001 MR2969872
    • Jarad F., Abdeljawad T., Baleanu D., Stability of q -fractional non-autonomous systems. Nonlinear Analysis. Real World Applications 2013 14 1 780 784 10.1016/j.nonrwa.2012.08.001 MR2969872
    • (2013) Nonlinear Analysis. Real World Applications , vol.14 , Issue.1 , pp. 780-784
    • Jarad, F.1    Abdeljawad, T.2    Baleanu, D.3
  • 26
    • 84873356580 scopus 로고    scopus 로고
    • Existence results for nonlocal boundary value problems of nonlinear fractional q-difference equations
    • Ahmad B., Ntouyas S. K., Purnaras I. K., Existence results for nonlocal boundary value problems of nonlinear fractional q-difference equations. Advances in Difference Equations 2012 2012, article 140
    • (2012) Advances in Difference Equations
    • Ahmad, B.1    Ntouyas, S.K.2    Purnaras, I.K.3
  • 28
    • 85072891743 scopus 로고    scopus 로고
    • Heidelberg, Germany Springer Lecture Notes in Mathematics 10.1007/978-3-642-30898-7 MR2963764
    • Annaby M. H., Mansour Z. S., q-Fractional Calculus and Equations 2012 2056 Heidelberg, Germany Springer Lecture Notes in Mathematics 10.1007/978-3-642-30898-7 MR2963764
    • (2012) Q-Fractional Calculus and Equations , vol.2056
    • Annaby, M.H.1    Mansour, Z.S.2
  • 30
    • 1842512912 scopus 로고    scopus 로고
    • New York, NY, USA Springer Springer Monographs in Mathematics MR1987179
    • Granas A., Dugundji J., Fixed Point Theory 2005 New York, NY, USA Springer Springer Monographs in Mathematics MR1987179
    • (2005) Fixed Point Theory
    • Granas, A.1    Dugundji, J.2
  • 31
    • 0003838373 scopus 로고
    • Cambridge University Press MR0467717
    • Smart D. R., Fixed Point Theorems 1980 Cambridge University Press MR0467717
    • (1980) Fixed Point Theorems
    • Smart, D.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.