Abro, Kashif Ali; Siyal, Ambreen; Atangana, Abdon Strange fractal attractors and optimal chaos of memristor-memcapacitor via non-local differentials. (English) Zbl 1525.34070 Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 156, 18 p. (2023). MSC: 34C60 39A60 94C60 34A08 34D45 37D45 34C28 39A33 39A12 34C05 34D20 PDFBibTeX XMLCite \textit{K. A. Abro} et al., Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 156, 18 p. (2023; Zbl 1525.34070) Full Text: DOI
Abro, Kashif Ali; Atangana, Abdon Numerical and mathematical analysis of induction motor by means of AB-fractal-fractional differentiation actuated by drilling system. (English) Zbl 07777087 Numer. Methods Partial Differ. Equations 38, No. 3, 293-307 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{K. A. Abro} and \textit{A. Atangana}, Numer. Methods Partial Differ. Equations 38, No. 3, 293--307 (2022; Zbl 07777087) Full Text: DOI
Koca, Ilknur; Atangana, Abdon Some chaotic mathematical models with stochastic resetting. (English) Zbl 1515.34020 Fractals 30, No. 8, Article ID 2240212, 23 p. (2022). MSC: 34A08 34A34 34C28 34F05 65L05 PDFBibTeX XMLCite \textit{I. Koca} and \textit{A. Atangana}, Fractals 30, No. 8, Article ID 2240212, 23 p. (2022; Zbl 1515.34020) Full Text: DOI
Atangana, Abdon; İğret Araz, Seda Deterministic-stochastic modeling: a new direction in modeling real world problems with crossover effect. (English) Zbl 1505.65232 Math. Biosci. Eng. 19, No. 4, 3526-3563 (2022). MSC: 65L05 34A08 34F05 37D45 PDFBibTeX XMLCite \textit{A. Atangana} and \textit{S. İğret Araz}, Math. Biosci. Eng. 19, No. 4, 3526--3563 (2022; Zbl 1505.65232) Full Text: DOI
Owolabi, Kolade M.; Atangana, Abdon; Gómez-Aguilar, Jose Francisco Fractional Adams-Bashforth scheme with the Liouville-Caputo derivative and application to chaotic systems. (English) Zbl 1475.65076 Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2455-2469 (2021). MSC: 65M06 35R11 34A08 65L05 PDFBibTeX XMLCite \textit{K. M. Owolabi} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2455--2469 (2021; Zbl 1475.65076) Full Text: DOI
Gómez-Aguilar, J. F.; Atangana, Abdon New chaotic attractors: application of fractal-fractional differentiation and integration. (English) Zbl 1481.34055 Math. Methods Appl. Sci. 44, No. 4, 3036-3065 (2021). MSC: 34C28 26A33 34A08 28A80 34A45 34D45 37M22 37D45 PDFBibTeX XMLCite \textit{J. F. Gómez-Aguilar} and \textit{A. Atangana}, Math. Methods Appl. Sci. 44, No. 4, 3036--3065 (2021; Zbl 1481.34055) Full Text: DOI
Atangana, Abdon; Bouallegue, Ghaith; Bouallegue, Kais New multi-scroll attractors obtained via Julia set mapping. (English) Zbl 1483.37045 Chaos Solitons Fractals 134, Article ID 109722, 11 p. (2020). MSC: 37D45 34A08 26A33 PDFBibTeX XMLCite \textit{A. Atangana} et al., Chaos Solitons Fractals 134, Article ID 109722, 11 p. (2020; Zbl 1483.37045) Full Text: DOI
Abro, Kashif Ali; Atangana, Abdon Mathematical analysis of memristor through fractal-fractional differential operators: a numerical study. (English) Zbl 1455.34048 Math. Methods Appl. Sci. 43, No. 10, 6378-6395 (2020). MSC: 34C60 34A08 94C60 34C28 65L05 34D45 28A80 PDFBibTeX XMLCite \textit{K. A. Abro} and \textit{A. Atangana}, Math. Methods Appl. Sci. 43, No. 10, 6378--6395 (2020; Zbl 1455.34048) Full Text: DOI
Atangana, Abdon; Khan, Muhammad Altaf Validity of fractal derivative to capturing chaotic attractors. (English) Zbl 1448.34010 Chaos Solitons Fractals 126, 50-59 (2019). MSC: 34A08 34A12 34C60 34C28 65L05 65L06 PDFBibTeX XMLCite \textit{A. Atangana} and \textit{M. A. Khan}, Chaos Solitons Fractals 126, 50--59 (2019; Zbl 1448.34010) Full Text: DOI
Atangana, Abdon; Qureshi, Sania Modeling attractors of chaotic dynamical systems with fractal-fractional operators. (English) Zbl 1448.65268 Chaos Solitons Fractals 123, 320-337 (2019). MSC: 65P20 65L03 34A08 34C28 34D45 PDFBibTeX XMLCite \textit{A. Atangana} and \textit{S. Qureshi}, Chaos Solitons Fractals 123, 320--337 (2019; Zbl 1448.65268) Full Text: DOI
Ávalos-Ruiz, L. F.; Gómez-Aguilar, J. F.; Atangana, A.; Owolabi, Kolade M. On the dynamics of fractional maps with power-law, exponential decay and Mittag-Leffler memory. (English) Zbl 1448.34086 Chaos Solitons Fractals 127, 364-388 (2019). MSC: 34C28 34A08 65L06 34C60 37M05 PDFBibTeX XMLCite \textit{L. F. Ávalos-Ruiz} et al., Chaos Solitons Fractals 127, 364--388 (2019; Zbl 1448.34086) Full Text: DOI
Atangana, Abdon; Shafiq, Anum Differential and integral operators with constant fractional order and variable fractional dimension. (English) Zbl 1448.34011 Chaos Solitons Fractals 127, 226-243 (2019). MSC: 34A08 26A33 26A24 34A12 65L70 34C28 34C60 PDFBibTeX XMLCite \textit{A. Atangana} and \textit{A. Shafiq}, Chaos Solitons Fractals 127, 226--243 (2019; Zbl 1448.34011) Full Text: DOI
Koca, Ilknur; Atangana, A. Existence and uniqueness results for a novel complex chaotic fractional order system. (English) Zbl 1436.34006 Gómez, José Francisco (ed.) et al., Fractional derivatives with Mittag-Leffler kernel. Trends and applications in science and engineering. Cham: Springer. Stud. Syst. Decis. Control 194, 97-115 (2019). MSC: 34A08 37D45 65L99 PDFBibTeX XMLCite \textit{I. Koca} and \textit{A. Atangana}, Stud. Syst. Decis. Control 194, 97--115 (2019; Zbl 1436.34006) Full Text: DOI
Owolabi, Kolade M.; Atangana, Abdon Chaotic behaviour in system of noninteger-order ordinary differential equations. (English) Zbl 1416.65180 Chaos Solitons Fractals 115, 362-370 (2018). MSC: 65L03 65L05 92D25 34D05 34K60 PDFBibTeX XMLCite \textit{K. M. Owolabi} and \textit{A. Atangana}, Chaos Solitons Fractals 115, 362--370 (2018; Zbl 1416.65180) Full Text: DOI
Atangana, Abdon; Gómez-Aguilar, J. F. Fractional derivatives with no-index law property: application to chaos and statistics. (English) Zbl 1415.34010 Chaos Solitons Fractals 114, 516-535 (2018). MSC: 34A08 26A33 34C28 65L03 34C60 PDFBibTeX XMLCite \textit{A. Atangana} and \textit{J. F. Gómez-Aguilar}, Chaos Solitons Fractals 114, 516--535 (2018; Zbl 1415.34010) Full Text: DOI
Atangana, Abdon Blind in a commutative world: simple illustrations with functions and chaotic attractors. (English) Zbl 1415.34009 Chaos Solitons Fractals 114, 347-363 (2018). MSC: 34A08 34C60 34C28 26A33 PDFBibTeX XMLCite \textit{A. Atangana}, Chaos Solitons Fractals 114, 347--363 (2018; Zbl 1415.34009) Full Text: DOI
Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A. Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws. (English) Zbl 1415.65148 Chaos Solitons Fractals 114, 175-185 (2018). MSC: 65L03 34A08 34C28 PDFBibTeX XMLCite \textit{J. E. Solís-Pérez} et al., Chaos Solitons Fractals 114, 175--185 (2018; Zbl 1415.65148) Full Text: DOI
Owolabi, Kolade M.; Atangana, Abdon Analysis and application of new fractional Adams-Bashforth scheme with Caputo-Fabrizio derivative. (English) Zbl 1380.65120 Chaos Solitons Fractals 105, 111-119 (2017). MSC: 65L05 34A08 65L20 PDFBibTeX XMLCite \textit{K. M. Owolabi} and \textit{A. Atangana}, Chaos Solitons Fractals 105, 111--119 (2017; Zbl 1380.65120) Full Text: DOI
Atangana, Abdon; Gómez-Aguilar, J. F. Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws. (English) Zbl 1374.34296 Chaos Solitons Fractals 102, 285-294 (2017). MSC: 34K23 65L04 34K60 PDFBibTeX XMLCite \textit{A. Atangana} and \textit{J. F. Gómez-Aguilar}, Chaos Solitons Fractals 102, 285--294 (2017; Zbl 1374.34296) Full Text: DOI
Atangana, Abdon; Koca, Ilknur Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order. (English) Zbl 1360.34150 Chaos Solitons Fractals 89, 447-454 (2016). MSC: 34K23 26A33 37M05 PDFBibTeX XMLCite \textit{A. Atangana} and \textit{I. Koca}, Chaos Solitons Fractals 89, 447--454 (2016; Zbl 1360.34150) Full Text: DOI