Isah, Sunday Simon; Fernandez, Arran; Özarslan, Mehmet Ali On univariate fractional calculus with general bivariate analytic kernels. (English) Zbl 1524.26011 Comput. Appl. Math. 42, No. 5, Paper No. 228, 27 p. (2023). MSC: 26A33 34A08 PDFBibTeX XMLCite \textit{S. S. Isah} et al., Comput. Appl. Math. 42, No. 5, Paper No. 228, 27 p. (2023; Zbl 1524.26011) Full Text: DOI
Kürt, Cemaliye; Fernandez, Arran; Özarslan, Mehmet Ali Two unified families of bivariate Mittag-Leffler functions. (English) Zbl 1511.33013 Appl. Math. Comput. 443, Article ID 127785, 25 p. (2023). MSC: 33E12 34A08 35R11 PDFBibTeX XMLCite \textit{C. Kürt} et al., Appl. Math. Comput. 443, Article ID 127785, 25 p. (2023; Zbl 1511.33013) Full Text: DOI
Fernandez, Arran; Restrepo, Joel E.; Suragan, Durvudkhan A new representation for the solutions of fractional differential equations with variable coefficients. (English) Zbl 1518.34002 Mediterr. J. Math. 20, No. 1, Paper No. 27, 20 p. (2023). MSC: 34A05 34A08 34A30 34A25 PDFBibTeX XMLCite \textit{A. Fernandez} et al., Mediterr. J. Math. 20, No. 1, Paper No. 27, 20 p. (2023; Zbl 1518.34002) Full Text: DOI arXiv
Mali, Ashwini D.; Kucche, Kishor D.; Fernandez, Arran; Fahad, Hafiz Muhammad On tempered fractional calculus with respect to functions and the associated fractional differential equations. (English) Zbl 07812767 Math. Methods Appl. Sci. 45, No. 17, 11134-11157 (2022). MSC: 26A33 34A12 34A08 PDFBibTeX XMLCite \textit{A. D. Mali} et al., Math. Methods Appl. Sci. 45, No. 17, 11134--11157 (2022; Zbl 07812767) Full Text: DOI arXiv
Rani, Noosheza; Fernandez, Arran Mikusiński’s operational calculus for Prabhakar fractional calculus. (English) Zbl 1516.26003 Integral Transforms Spec. Funct. 33, No. 12, 945-965 (2022). MSC: 26A33 33E12 34A08 44A40 PDFBibTeX XMLCite \textit{N. Rani} and \textit{A. Fernandez}, Integral Transforms Spec. Funct. 33, No. 12, 945--965 (2022; Zbl 1516.26003) Full Text: DOI
Fernandez, Arran; Restrepo, Joel E.; Suragan, Durvudkhan On linear fractional differential equations with variable coefficients. (English) Zbl 1510.34013 Appl. Math. Comput. 432, Article ID 127370, 19 p. (2022). MSC: 34A08 PDFBibTeX XMLCite \textit{A. Fernandez} et al., Appl. Math. Comput. 432, Article ID 127370, 19 p. (2022; Zbl 1510.34013) Full Text: DOI
Özarslan, Mehmet Ali; Fernandez, Arran On the fractional calculus of multivariate Mittag-Leffler functions. (English) Zbl 1508.33019 Int. J. Comput. Math. 99, No. 2, 247-273 (2022). MSC: 33E12 26A33 PDFBibTeX XMLCite \textit{M. A. Özarslan} and \textit{A. Fernandez}, Int. J. Comput. Math. 99, No. 2, 247--273 (2022; Zbl 1508.33019) Full Text: DOI
Fahad, Hafiz Muhammad; Fernandez, Arran Operational calculus for the Riemann-Liouville fractional derivative with respect to a function and its applications. (English) Zbl 1498.26010 Fract. Calc. Appl. Anal. 24, No. 2, 518-540 (2021). MSC: 26A33 44A40 44A45 PDFBibTeX XMLCite \textit{H. M. Fahad} and \textit{A. Fernandez}, Fract. Calc. Appl. Anal. 24, No. 2, 518--540 (2021; Zbl 1498.26010) Full Text: DOI
Huseynov, Ismail T.; Ahmadova, Arzu; Fernandez, Arran; Mahmudov, Nazim I. Explicit analytical solutions of incommensurate fractional differential equation systems. (English) Zbl 1508.34006 Appl. Math. Comput. 390, Article ID 125590, 21 p. (2021). MSC: 34A08 33E12 34A25 34A30 PDFBibTeX XMLCite \textit{I. T. Huseynov} et al., Appl. Math. Comput. 390, Article ID 125590, 21 p. (2021; Zbl 1508.34006) Full Text: DOI
Ahmadova, Arzu; Huseynov, Ismail T.; Fernandez, Arran; Mahmudov, Nazim I. Trivariate Mittag-Leffler functions used to solve multi-order systems of fractional differential equations. (English) Zbl 1464.34005 Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105735, 23 p. (2021). MSC: 34A05 34A08 34A30 33E12 PDFBibTeX XMLCite \textit{A. Ahmadova} et al., Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105735, 23 p. (2021; Zbl 1464.34005) Full Text: DOI
Fernandez, Arran; Abdeljawad, Thabet; Baleanu, Dumitru Relations between fractional models with three-parameter Mittag-Leffler kernels. (English) Zbl 1482.26007 Adv. Difference Equ. 2020, Paper No. 186, 13 p. (2020). MSC: 26A33 33E12 34A08 33D45 PDFBibTeX XMLCite \textit{A. Fernandez} et al., Adv. Difference Equ. 2020, Paper No. 186, 13 p. (2020; Zbl 1482.26007) Full Text: DOI
Djida, Jean-Daniel; Fernandez, Arran; Area, Iván Well-posedness results for fractional semi-linear wave equations. (English) Zbl 1443.35100 Discrete Contin. Dyn. Syst., Ser. B 25, No. 2, 569-597 (2020). Reviewer: Sergei V. Rogosin (Minsk) MSC: 35L71 35R11 74G22 35B65 35L15 PDFBibTeX XMLCite \textit{J.-D. Djida} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 2, 569--597 (2020; Zbl 1443.35100) Full Text: DOI
Fernandez, Arran; Özarslan, Mehmet Ali; Baleanu, Dumitru On fractional calculus with general analytic kernels. (English) Zbl 1428.26011 Appl. Math. Comput. 354, 248-265 (2019). MSC: 26A33 33E12 45D05 PDFBibTeX XMLCite \textit{A. Fernandez} et al., Appl. Math. Comput. 354, 248--265 (2019; Zbl 1428.26011) Full Text: DOI arXiv