Atıcı, F. M.; Jonnalagadda, J. M. An eigenvalue problem in fractional \(h\)-discrete calculus. (English) Zbl 1503.26003 Fract. Calc. Appl. Anal. 25, No. 2, 630-647 (2022). MSC: 26A33 39A12 39A13 39A70 PDFBibTeX XMLCite \textit{F. M. Atıcı} and \textit{J. M. Jonnalagadda}, Fract. Calc. Appl. Anal. 25, No. 2, 630--647 (2022; Zbl 1503.26003) Full Text: DOI
Atıcı, Ferhan M.; Jonnalagadda, Jagan M. Convexity in fractional \(h\)-discrete calculus. (English) Zbl 1499.39014 Differ. Equ. Appl. 14, No. 2, 313-324 (2022). MSC: 39A13 39A70 26A33 PDFBibTeX XMLCite \textit{F. M. Atıcı} and \textit{J. M. Jonnalagadda}, Differ. Equ. Appl. 14, No. 2, 313--324 (2022; Zbl 1499.39014) Full Text: DOI
Wu, Guo-Cheng (ed.); Abdeljawad, Thabet (ed.); Atici, Ferhan (ed.); Lizama, Carlos (ed.) Editorial. Special issue on discrete fractional calculus with applications: overview and some new directions. (English) Zbl 1489.00034 Fractals 29, No. 8, Article ID 2102003, 6 p. (2021). MSC: 00B15 26-06 28-06 34-06 PDFBibTeX XMLCite \textit{G.-C. Wu} (ed.) et al., Fractals 29, No. 8, Article ID 2102003, 6 p. (2021; Zbl 1489.00034) Full Text: DOI
Atıcı, Ferhan M.; Chang, Samuel; Jonnalagadda, Jagan Grünwald-Letnikov fractional operators: from past to present. (English) Zbl 1499.39087 Fract. Differ. Calc. 11, No. 1, 147-159 (2021). MSC: 39A70 39A13 26A33 PDFBibTeX XMLCite \textit{F. M. Atıcı} et al., Fract. Differ. Calc. 11, No. 1, 147--159 (2021; Zbl 1499.39087) Full Text: DOI
Atıcı, Ferhan M.; Zhoroev, Tilekbek Controllability and observability of time-invariant linear nabla fractional systems. (English) Zbl 1488.93007 Fract. Differ. Calc. 10, No. 1, 19-39 (2020). MSC: 93B05 93B07 26A33 39A13 93C55 PDFBibTeX XMLCite \textit{F. M. Atıcı} and \textit{T. Zhoroev}, Fract. Differ. Calc. 10, No. 1, 19--39 (2020; Zbl 1488.93007) Full Text: DOI
Atıcı, Ferhan M.; Nguyen, Ngoc; Dadashova, Kamala; Pedersen, Sarah E.; Koch, Gilbert Pharmacokinetics and pharmacodynamics models of tumor growth and anticancer effects in discrete time. (English) Zbl 1472.92118 Comput. Math. Biophys. 8, No. 1, 114-125 (2020). MSC: 92C45 92C50 39A60 26A33 62P10 PDFBibTeX XMLCite \textit{F. M. Atıcı} et al., Comput. Math. Biophys. 8, No. 1, 114--125 (2020; Zbl 1472.92118) Full Text: DOI
Atıcı, Ferhan M.; Dadashova, Kamala; Jonnalagadda, Jagan Mohan Linear fractional-order \(h\)-difference equations. (English) Zbl 1454.39015 Int. J. Difference Equ. 15, No. 2, 281-300 (2020). MSC: 39A12 39A70 26A33 PDFBibTeX XMLCite \textit{F. M. Atıcı} et al., Int. J. Difference Equ. 15, No. 2, 281--300 (2020; Zbl 1454.39015) Full Text: Link
Atıcı, Ferhan M.; Atıcı, Mustafa; Nguyen, Ngoc; Zhoroev, Tilekbek; Koch, Gilbert A study on discrete and discrete fractional pharmacokinetics-pharmacodynamics models for tumor growth and anti-cancer effects. (English) Zbl 1425.92093 Comput. Math. Biophys. 7, No. 1, 10-24 (2019). MSC: 92C45 92C50 39A12 26A33 PDFBibTeX XMLCite \textit{F. M. Atıcı} et al., Comput. Math. Biophys. 7, No. 1, 10--24 (2019; Zbl 1425.92093) Full Text: DOI
Atıcı, Ferhan M.; Nguyen, Duc M. Rank conditions for controllability of discrete fractional time-invariant linear systems. (English) Zbl 1421.93018 J. Difference Equ. Appl. 25, No. 6, 869-881 (2019). MSC: 93B05 26A33 39A13 93B07 93C55 93C05 PDFBibTeX XMLCite \textit{F. M. Atıcı} and \textit{D. M. Nguyen}, J. Difference Equ. Appl. 25, No. 6, 869--881 (2019; Zbl 1421.93018) Full Text: DOI
Atıcı, Ferhan M.; Yaldız, Hatice Refinements on the discrete Hermite-Hadamard inequality. (English) Zbl 1396.26028 Arab. J. Math. 7, No. 3, 175-182 (2018). MSC: 26D15 26A33 26D10 39A70 PDFBibTeX XMLCite \textit{F. M. Atıcı} and \textit{H. Yaldız}, Arab. J. Math. 7, No. 3, 175--182 (2018; Zbl 1396.26028) Full Text: DOI
Arslan, Aykut; Atıcı, Ferhan M. Discrete Hermite-Hadamard inequality and its applications. (English) Zbl 1474.26078 Appl. Anal. Discrete Math. 10, No. 2, 366-377 (2016). MSC: 26D15 26E70 34N05 PDFBibTeX XMLCite \textit{A. Arslan} and \textit{F. M. Atıcı}, Appl. Anal. Discrete Math. 10, No. 2, 366--377 (2016; Zbl 1474.26078) Full Text: DOI
Atıcı, Ferhan M.; Yaldız, Hatice Convex functions on discrete time domains. (English) Zbl 1342.26035 Can. Math. Bull. 59, No. 2, 225-233 (2016). MSC: 26B25 26A33 26E70 26D15 PDFBibTeX XMLCite \textit{F. M. Atıcı} and \textit{H. Yaldız}, Can. Math. Bull. 59, No. 2, 225--233 (2016; Zbl 1342.26035) Full Text: DOI
Atıcı, Ferhan M.; Uyanik, Meltem Analysis of discrete fractional operators. (English) Zbl 1390.26007 Appl. Anal. Discrete Math. 9, No. 1, 139-149 (2015). MSC: 26A33 39A12 39A70 PDFBibTeX XMLCite \textit{F. M. Atıcı} and \textit{M. Uyanik}, Appl. Anal. Discrete Math. 9, No. 1, 139--149 (2015; Zbl 1390.26007) Full Text: DOI
Atici, Ferhan M.; Biles, Daniel C. Further developement of stochastic calculus on time scales. (English) Zbl 1326.60102 Panam. Math. J. 25, No. 2, 13-24 (2015). MSC: 60H99 60H05 60J65 26E70 PDFBibTeX XMLCite \textit{F. M. Atici} and \textit{D. C. Biles}, Panam. Math. J. 25, No. 2, 13--24 (2015; Zbl 1326.60102)
Atici, Ferhan M.; Wu, Fang Existence of solutions for nonlinear fractional difference equations with initial conditions. (English) Zbl 1317.39003 Dyn. Syst. Appl. 23, No. 2-3, 265-276 (2014). Reviewer: Ondřej Došlý (Brno) MSC: 39A10 26A33 PDFBibTeX XMLCite \textit{F. M. Atici} and \textit{F. Wu}, Dyn. Syst. Appl. 23, No. 2--3, 265--276 (2014; Zbl 1317.39003)
Atıcı, Ferhan M.; Ekiz, Funda; Lebedinsky, Alex Cagan type rational expectation model on complex discrete time domains. (English) Zbl 1304.39003 Eur. J. Oper. Res. 237, No. 1, 148-151 (2014). MSC: 39A10 34N05 26E70 62P20 PDFBibTeX XMLCite \textit{F. M. Atıcı} et al., Eur. J. Oper. Res. 237, No. 1, 148--151 (2014; Zbl 1304.39003) Full Text: DOI
Atıcı, Ferhan M.; Lebedinsky, Alex; Uysal, Fahriye Inventory model of deteriorating items on non-periodic discrete-time domains. (English) Zbl 1317.90014 Eur. J. Oper. Res. 230, No. 2, 284-289 (2013). MSC: 90B05 34N05 26E70 PDFBibTeX XMLCite \textit{F. M. Atıcı} et al., Eur. J. Oper. Res. 230, No. 2, 284--289 (2013; Zbl 1317.90014) Full Text: DOI
Acar, Nihan; Atıcı, Ferhan M. Exponential functions of discrete fractional calculus. (English) Zbl 1299.39001 Appl. Anal. Discrete Math. 7, No. 2, 343-353 (2013). MSC: 39A12 26A33 33E12 33B10 39A06 PDFBibTeX XMLCite \textit{N. Acar} and \textit{F. M. Atıcı}, Appl. Anal. Discrete Math. 7, No. 2, 343--353 (2013; Zbl 1299.39001) Full Text: DOI
Atıcı, Ferhan M.; Eloe, Paul W. Gronwall’s inequality on discrete fractional calculus. (English) Zbl 1268.26029 Comput. Math. Appl. 64, No. 10, 3193-3200 (2012). MSC: 26D15 26A33 39A10 PDFBibTeX XMLCite \textit{F. M. Atıcı} and \textit{P. W. Eloe}, Comput. Math. Appl. 64, No. 10, 3193--3200 (2012; Zbl 1268.26029) Full Text: DOI
Abdeljawad, Thabet; Atici, Ferhan M. On the definitions of nabla fractional operators. (English) Zbl 1253.39004 Abstr. Appl. Anal. 2012, Article ID 406757, 13 p. (2012). MSC: 39A12 26A33 PDFBibTeX XMLCite \textit{T. Abdeljawad} and \textit{F. M. Atici}, Abstr. Appl. Anal. 2012, Article ID 406757, 13 p. (2012; Zbl 1253.39004) Full Text: DOI
Atici, Ferhan M.; Eloe, Paul W. Linear systems of fractional nabla difference equations. (English) Zbl 1218.39003 Rocky Mt. J. Math. 41, No. 2, 353-370 (2011). Reviewer: Claudio Cuevas (Pernambuco) MSC: 39A06 39A12 26A33 34A08 PDFBibTeX XMLCite \textit{F. M. Atici} and \textit{P. W. Eloe}, Rocky Mt. J. Math. 41, No. 2, 353--370 (2011; Zbl 1218.39003) Full Text: DOI
Atici, Ferhan M.; Biles, Daniel C. The stochastic Itô integral on time scales. (English) Zbl 1229.60067 Panam. Math. J. 20, No. 4, 45-56 (2010). MSC: 60H05 60J65 26E70 PDFBibTeX XMLCite \textit{F. M. Atici} and \textit{D. C. Biles}, Panam. Math. J. 20, No. 4, 45--56 (2010; Zbl 1229.60067)
Atıcı, Ferhan M.; Şengül, Sevgi Modeling with fractional difference equations. (English) Zbl 1204.39004 J. Math. Anal. Appl. 369, No. 1, 1-9 (2010). Reviewer: Sui Sun Cheng (Hsinchu) MSC: 39A12 39A05 26A33 34A08 PDFBibTeX XMLCite \textit{F. M. Atıcı} and \textit{S. Şengül}, J. Math. Anal. Appl. 369, No. 1, 1--9 (2010; Zbl 1204.39004) Full Text: DOI
Atici, F. M.; Eloe, P. Discrete fractional calculus with the nabla operator. (English) Zbl 1189.39004 Electron. J. Qual. Theory Differ. Equ. 2009, Spec. Iss. I, Paper No. 3, 12 p. (2009). MSC: 39A12 26A33 44A10 PDFBibTeX XMLCite \textit{F. M. Atici} and \textit{P. Eloe}, Electron. J. Qual. Theory Differ. Equ. 2009, Paper No. 3, 12 p. (2009; Zbl 1189.39004) Full Text: DOI EuDML EMIS
Atici, Ferhan M.; Eloe, Paul W. Initial value problems in discrete fractional calculus. (English) Zbl 1166.39005 Proc. Am. Math. Soc. 137, No. 3, 981-989 (2009). Reviewer: Fozi Dannan (Damascus) MSC: 39A12 26A33 39A20 39A10 PDFBibTeX XMLCite \textit{F. M. Atici} and \textit{P. W. Eloe}, Proc. Am. Math. Soc. 137, No. 3, 981--989 (2009; Zbl 1166.39005) Full Text: DOI