Ma, Li; Fan, Dahong On discrete tempered fractional calculus and its application. (English) Zbl 1522.26006 Fract. Calc. Appl. Anal. 26, No. 3, 1384-1420 (2023). MSC: 26A33 39A13 39A12 34A08 39A70 PDFBibTeX XMLCite \textit{L. Ma} and \textit{D. Fan}, Fract. Calc. Appl. Anal. 26, No. 3, 1384--1420 (2023; Zbl 1522.26006) Full Text: DOI
Edelman, Mark; Helman, Avigayil B. Asymptotic cycles in fractional maps of arbitrary positive orders. (English) Zbl 1503.39003 Fract. Calc. Appl. Anal. 25, No. 1, 181-206 (2022). MSC: 39A13 34A08 26A33 37C25 PDFBibTeX XMLCite \textit{M. Edelman} and \textit{A. B. Helman}, Fract. Calc. Appl. Anal. 25, No. 1, 181--206 (2022; Zbl 1503.39003) Full Text: DOI arXiv
González-Camus, Jorge; Ponce, Rodrigo Explicit representation of discrete fractional resolvent families in Banach spaces. (English) Zbl 1498.34027 Fract. Calc. Appl. Anal. 24, No. 6, 1853-1878 (2021). MSC: 34A08 26A33 47D06 39A12 PDFBibTeX XMLCite \textit{J. González-Camus} and \textit{R. Ponce}, Fract. Calc. Appl. Anal. 24, No. 6, 1853--1878 (2021; Zbl 1498.34027) Full Text: DOI arXiv
Droghei, Riccardo On a solution of a fractional hyper-Bessel differential equation by means of a multi-index special function. (English) Zbl 1498.34020 Fract. Calc. Appl. Anal. 24, No. 5, 1559-1570 (2021). MSC: 34A08 26A33 35R11 33E12 33E30 PDFBibTeX XMLCite \textit{R. Droghei}, Fract. Calc. Appl. Anal. 24, No. 5, 1559--1570 (2021; Zbl 1498.34020) Full Text: DOI arXiv
Luchko, Yuri Operational calculus for the general fractional derivative and its applications. (English) Zbl 1498.26013 Fract. Calc. Appl. Anal. 24, No. 2, 338-375 (2021). MSC: 26A33 44A40 44A35 33E30 45J05 45D05 PDFBibTeX XMLCite \textit{Y. Luchko}, Fract. Calc. Appl. Anal. 24, No. 2, 338--375 (2021; Zbl 1498.26013) Full Text: DOI arXiv
Hanna, Latif A-M.; Al-Kandari, Maryam; Luchko, Yuri Operational method for solving fractional differential equations with the left-and right-hand sided Erdélyi-Kober fractional derivatives. (English) Zbl 1441.34009 Fract. Calc. Appl. Anal. 23, No. 1, 103-125 (2020). MSC: 34A08 34A25 26A33 44A35 33E30 45J99 45D99 PDFBibTeX XMLCite \textit{L. A M. Hanna} et al., Fract. Calc. Appl. Anal. 23, No. 1, 103--125 (2020; Zbl 1441.34009) Full Text: DOI
Bohaienko, Vsevolod Parallel algorithms for modelling two-dimensional non-equilibrium salt transfer processes on the base of fractional derivative model. (English) Zbl 1436.65097 Fract. Calc. Appl. Anal. 21, No. 3, 654-671 (2018). MSC: 65M06 35R11 65L12 65Y05 76S05 PDFBibTeX XMLCite \textit{V. Bohaienko}, Fract. Calc. Appl. Anal. 21, No. 3, 654--671 (2018; Zbl 1436.65097) Full Text: DOI
Xia, Zhinan; Wang, Dingjiang Asymptotic behavior of mild solutions for nonlinear fractional difference equations. (English) Zbl 1401.39011 Fract. Calc. Appl. Anal. 21, No. 2, 527-551 (2018). MSC: 39A13 34D05 26A33 PDFBibTeX XMLCite \textit{Z. Xia} and \textit{D. Wang}, Fract. Calc. Appl. Anal. 21, No. 2, 527--551 (2018; Zbl 1401.39011) Full Text: DOI
Agarwal, Ravi; Hristova, Snezhana; O’Regan, Donal Some stability properties related to initial time difference for Caputo fractional differential equations. (English) Zbl 1393.34011 Fract. Calc. Appl. Anal. 21, No. 1, 72-93 (2018). MSC: 34A08 34D20 34D05 PDFBibTeX XMLCite \textit{R. Agarwal} et al., Fract. Calc. Appl. Anal. 21, No. 1, 72--93 (2018; Zbl 1393.34011) Full Text: DOI
Parsa Moghaddam, Behrouz; Tenreiro Machado, José António A computational approach for the solution of a class of variable-order fractional integro-differential equations with weakly singular kernels. (English) Zbl 1376.65159 Fract. Calc. Appl. Anal. 20, No. 4, 1023-1042 (2017). MSC: 65R20 45J05 26A33 45E10 45G10 PDFBibTeX XMLCite \textit{B. Parsa Moghaddam} and \textit{J. A. Tenreiro Machado}, Fract. Calc. Appl. Anal. 20, No. 4, 1023--1042 (2017; Zbl 1376.65159) Full Text: DOI
Stanisławski, Rafał New results in stability analysis for LTI SISO systems modeled by GL-discretized fractional-order transfer functions. (English) Zbl 1384.93125 Fract. Calc. Appl. Anal. 20, No. 1, 243-259 (2017). MSC: 93D20 34A08 39A12 39A30 65Q10 PDFBibTeX XMLCite \textit{R. Stanisławski}, Fract. Calc. Appl. Anal. 20, No. 1, 243--259 (2017; Zbl 1384.93125) Full Text: DOI
Lizama, Carlos; Pilar Velasco, M. Weighted bounded solutions for a class of nonlinear fractional equations. (English) Zbl 1346.34012 Fract. Calc. Appl. Anal. 19, No. 4, 1010-1030 (2016). MSC: 34A08 65Q10 47D06 47B39 PDFBibTeX XMLCite \textit{C. Lizama} and \textit{M. Pilar Velasco}, Fract. Calc. Appl. Anal. 19, No. 4, 1010--1030 (2016; Zbl 1346.34012) Full Text: DOI
Kaczorek, Tadeusz; Ostalczyk, Piotr Responses comparison of the two discrete-time linear fractional state-space models. (English) Zbl 1344.34016 Fract. Calc. Appl. Anal. 19, No. 4, 789-805 (2016). MSC: 34A08 26A33 34A30 65Q10 PDFBibTeX XMLCite \textit{T. Kaczorek} and \textit{P. Ostalczyk}, Fract. Calc. Appl. Anal. 19, No. 4, 789--805 (2016; Zbl 1344.34016) Full Text: DOI
Cioć, Radosław Physical and geometrical interpretation of Grünwald-Letnikov differintegrals: measurement of path and acceleration. (English) Zbl 1339.26019 Fract. Calc. Appl. Anal. 19, No. 1, 161-172 (2016). MSC: 26A33 28E05 33E30 34A25 PDFBibTeX XMLCite \textit{R. Cioć}, Fract. Calc. Appl. Anal. 19, No. 1, 161--172 (2016; Zbl 1339.26019) Full Text: DOI
Gu, Anhui; Zeng, Caibin; Li, Yangrong Synchronization of systems with fractional environmental noises on finite lattice. (English) Zbl 1327.60117 Fract. Calc. Appl. Anal. 18, No. 4, 891-910 (2015). MSC: 60H10 60G22 34F05 37H10 PDFBibTeX XMLCite \textit{A. Gu} et al., Fract. Calc. Appl. Anal. 18, No. 4, 891--910 (2015; Zbl 1327.60117) Full Text: DOI
Čermák, Jan; Kisela, Tomáš Asymptotic stability of dynamic equations with two fractional terms: continuous versus discrete case. (English) Zbl 1308.39009 Fract. Calc. Appl. Anal. 18, No. 2, 437-458 (2015). MSC: 39A12 39A30 34A08 PDFBibTeX XMLCite \textit{J. Čermák} and \textit{T. Kisela}, Fract. Calc. Appl. Anal. 18, No. 2, 437--458 (2015; Zbl 1308.39009) Full Text: DOI
Gracia, José Luis; Stynes, Martin Formal consistency versus actual convergence rates of difference schemes for fractional-derivative boundary value problems. (English) Zbl 1308.65126 Fract. Calc. Appl. Anal. 18, No. 2, 419-436 (2015). MSC: 65L10 65L12 34A08 PDFBibTeX XMLCite \textit{J. L. Gracia} and \textit{M. Stynes}, Fract. Calc. Appl. Anal. 18, No. 2, 419--436 (2015; Zbl 1308.65126) Full Text: DOI Link
El-Sayed, Ahmed; Hashem, Hind Existence results for nonlinear quadratic integral equations of fractional order in Banach algebra. (English) Zbl 1312.45004 Fract. Calc. Appl. Anal. 16, No. 4, 816-826 (2013). MSC: 45D05 26A33 33E30 34A08 PDFBibTeX XMLCite \textit{A. El-Sayed} and \textit{H. Hashem}, Fract. Calc. Appl. Anal. 16, No. 4, 816--826 (2013; Zbl 1312.45004) Full Text: DOI
Graef, John R.; Kong, Lingju Existence of positive solutions to a higher order singular boundary value problem with fractional \(q\)-derivatives. (English) Zbl 1312.39014 Fract. Calc. Appl. Anal. 16, No. 3, 695-708 (2013). MSC: 39A13 34B18 34B16 34A08 PDFBibTeX XMLCite \textit{J. R. Graef} and \textit{L. Kong}, Fract. Calc. Appl. Anal. 16, No. 3, 695--708 (2013; Zbl 1312.39014) Full Text: DOI
Guo, Peng; Zeng, Caibin; Li, Changpin; Chen, YangQuan Numerics for the fractional Langevin equation driven by the fractional Brownian motion. (English) Zbl 1312.34093 Fract. Calc. Appl. Anal. 16, No. 1, 123-141 (2013). MSC: 34F05 34A08 60G22 65C30 65L12 PDFBibTeX XMLCite \textit{P. Guo} et al., Fract. Calc. Appl. Anal. 16, No. 1, 123--141 (2013; Zbl 1312.34093) Full Text: DOI
Przeworska-Rolewicz, Danuta Shifts and periodicity in algebraic analysis. (English) Zbl 1311.47003 Fract. Calc. Appl. Anal. 14, No. 2, 164-200 (2011). MSC: 47A05 47D03 47A16 16R99 30D20 34C10 47-02 PDFBibTeX XMLCite \textit{D. Przeworska-Rolewicz}, Fract. Calc. Appl. Anal. 14, No. 2, 164--200 (2011; Zbl 1311.47003) Full Text: DOI
Mansour, Z. S. I. Linear sequential \(q\)-difference equations of fractional order. (English) Zbl 1176.26005 Fract. Calc. Appl. Anal. 12, No. 2, 159-178 (2009). Reviewer: Stefan G. Samko (Faro) MSC: 26A33 34A12 39A13 PDFBibTeX XMLCite \textit{Z. S. I. Mansour}, Fract. Calc. Appl. Anal. 12, No. 2, 159--178 (2009; Zbl 1176.26005)
Luchko, Yury; Trujillo, Juan J. Caputo-type modification of the Erdélyi-Kober fractional derivatives. (English) Zbl 1152.26304 Fract. Calc. Appl. Anal. 10, No. 3, 249-267 (2007). MSC: 26A33 33E12 33E30 44A15 45J05 PDFBibTeX XMLCite \textit{Y. Luchko} and \textit{J. J. Trujillo}, Fract. Calc. Appl. Anal. 10, No. 3, 249--267 (2007; Zbl 1152.26304) Full Text: EuDML
Andries, Erik; Umarov, Sabir; Steinberg, Stanly Monte Carlo random walk simulations based on distributed order differential equations with applications to cell biology. (English) Zbl 1132.65114 Fract. Calc. Appl. Anal. 9, No. 4, 351-369 (2006). MSC: 65R20 45K05 26A33 65C05 60G50 65L12 92C37 65L05 PDFBibTeX XMLCite \textit{E. Andries} et al., Fract. Calc. Appl. Anal. 9, No. 4, 351--369 (2006; Zbl 1132.65114) Full Text: arXiv EuDML
Podlubny, Igor Matrix approach to discrete fractional calculus. (English) Zbl 1030.26011 Fract. Calc. Appl. Anal. 3, No. 4, 359-386 (2000). MSC: 26A33 15A99 39A12 65L12 PDFBibTeX XMLCite \textit{I. Podlubny}, Fract. Calc. Appl. Anal. 3, No. 4, 359--386 (2000; Zbl 1030.26011)