메뉴 건너뛰기




Volumn 16, Issue 3, 2013, Pages 613-629

On the asymptotic stability of linear system of fractional-order difference equations

Author keywords

asymptotic stability; fractional order difference equations; special functions; Volterra difference equations

Indexed keywords


EID: 84879776323     PISSN: 13110454     EISSN: 13142444     Source Type: Journal    
DOI: 10.2478/s13540-013-0039-2     Document Type: Article
Times cited : (109)

References (20)
  • 2
    • 0036576530 scopus 로고    scopus 로고
    • Solutions of fractional multi-order integral and differential equations using a Poisson-type transform
    • 1907880 1026.45009 10.1016/S0022-247X(02)00012-4
    • I. Ali, V. Kiryakova, S.L. Kalla, Solutions of fractional multi-order integral and differential equations using a Poisson-type transform. J. of Mathematical Analysis and Applications 269, No 1 (2002), 172-199.
    • (2002) J. of Mathematical Analysis and Applications , vol.269 , Issue.1 , pp. 172-199
    • Ali, I.1    Kiryakova, V.2    Kalla, S.L.3
  • 3
    • 64549120203 scopus 로고    scopus 로고
    • An efficient method for solving fractional Sturm-Liouville problems
    • 2517924 1197.65097 10.1016/j.chaos.2007.07.041
    • Q.M. Al-Mdallal, An efficient method for solving fractional Sturm-Liouville problems. Chaos, Solitons and Fractals 40, No 1 (2009), 183-189.
    • (2009) Chaos, Solitons and Fractals , vol.40 , Issue.1 , pp. 183-189
    • Al-Mdallal, Q.M.1
  • 4
    • 77957977302 scopus 로고    scopus 로고
    • On the numerical solution of fractional Sturm-Liouville problems
    • 2728212 1202.65100 10.1080/00207160802562549
    • Q.M. Al-Mdallal, On the numerical solution of fractional Sturm-Liouville problems. International J. of Computer Mathematics 87, No 12 (2010), 2837-2845.
    • (2010) International J. of Computer Mathematics , vol.87 , Issue.12 , pp. 2837-2845
    • Al-Mdallal, Q.M.1
  • 6
    • 84855251712 scopus 로고    scopus 로고
    • An efficient method for solving non-linear singularly perturbed two points boundary-value problems of fractional order
    • 2877676 10.1016/j.cnsns.2011.10.003
    • Q.M. Al-Mdallal, M.I. Syam, An efficient method for solving non-linear singularly perturbed two points boundary-value problems of fractional order. Communications in Nonlinear Science and Numerical Simulations 17, No 6 (2011), 2299-2308.
    • (2011) Communications in Nonlinear Science and Numerical Simulations , vol.17 , Issue.6 , pp. 2299-2308
    • Al-Mdallal, Q.M.1    Syam, M.I.2
  • 9
    • 74149083825 scopus 로고    scopus 로고
    • Initial value problems in discrete fractional calculus
    • 2457438 1166.39005 10.1090/S0002-9939-08-09626-3
    • F.M. Atici, P.L. Eloe, Initial value problems in discrete fractional calculus. Proc. of the American Mathematical Society 137, No 3 (2009), 981-989.
    • (2009) Proc. of the American Mathematical Society , vol.137 , Issue.3 , pp. 981-989
    • Atici, F.M.1    Eloe, P.L.2
  • 10
    • 79958719410 scopus 로고    scopus 로고
    • Linear system of fractional nabla difference equations
    • 2794443 1218.39003 10.1216/RMJ-2011-41-2-353
    • F.M. Atici, P.L. Eloe, Linear system of fractional nabla difference equations. Rocky Mountain J. of Mathematics 41, No 2 (2011), 353-370.
    • (2011) Rocky Mountain J. of Mathematics , vol.41 , Issue.2 , pp. 353-370
    • Atici, F.M.1    Eloe, P.L.2
  • 11
    • 79958825483 scopus 로고    scopus 로고
    • Fixed points and asymptotic stability of nonlinear fractional difference equations
    • 10.1155/2011/871574
    • F. Chen, Fixed points and asymptotic stability of nonlinear fractional difference equations. Electronic J. of Qualitative Theory of Differential Equations 39 (2011), 1-18.
    • (2011) Electronic J. of Qualitative Theory of Differential Equations , vol.39 , pp. 1-18
    • Chen, F.1
  • 12
    • 79952236374 scopus 로고    scopus 로고
    • Existence results for nonlinear fractional order difference equation
    • Article ID 713201
    • F. Chen, X. Luo, Y. Zhou. Existence results for nonlinear fractional order difference equation. Advances in Difference Equations 2011 (2011), Article ID 713201, 12 pages.
    • (2011) Advances in Difference Equations 2011 , pp. 12
    • Chen, F.1    Luo, X.2    Zhou, Y.3
  • 13
    • 81755165953 scopus 로고    scopus 로고
    • On the fractional difference equations of order (2, q)
    • Article ID 497259
    • J.F. Cheng, Y.M. Chu, On the fractional difference equations of order (2, q). Advances in Difference Equations 2011 (2011), Article ID 497259, 16 pages.
    • (2011) Advances in Difference Equations 2011 , pp. 16
    • Cheng, J.F.1    Chu, Y.M.2
  • 15
    • 64549151631 scopus 로고    scopus 로고
    • Stability and asymptoticity of Volterra difference equations: A progress report
    • 2523167 1186.39023 10.1016/j.cam.2008.03.023
    • S.N. Elaydi, Stability and asymptoticity of Volterra difference equations: A progress report. Journal of Computational and Applied Mathematics 228, (2009), 504-513.
    • (2009) Journal of Computational and Applied Mathematics , vol.228 , pp. 504-513
    • Elaydi, S.N.1
  • 19
    • 77955547158 scopus 로고    scopus 로고
    • A brief story about the operators of the generalized fractional calculus
    • 2401328 1153.26003
    • V. Kiryakova, A brief story about the operators of the generalized fractional calculus. Fractional Calculus and Applied Analysis 11, No 2 (2008), 203-220; available at http://www.math.bas.bg/~fcaa.
    • (2008) Fractional Calculus and Applied Analysis , vol.11 , Issue.2 , pp. 203-220
    • Kiryakova, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.