Fernandez, Arran Abstract algebraic construction in fractional calculus: parametrised families with semigroup properties. (English) Zbl 07823176 Complex Anal. Oper. Theory 18, No. 3, Paper No. 50, 41 p. (2024). MSC: 26A33 44A40 20M25 PDFBibTeX XMLCite \textit{A. Fernandez}, Complex Anal. Oper. Theory 18, No. 3, Paper No. 50, 41 p. (2024; Zbl 07823176) Full Text: DOI
Khater, Mostafa M. A.; Hamed, Y. S.; Lu, Dianchen On rigorous computational and numerical solutions for the voltages of the electrified transmission range with the day yet distance. (English) Zbl 07798403 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22700, 19 p. (2024). MSC: 65R20 26A33 PDFBibTeX XMLCite \textit{M. M. A. Khater} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22700, 19 p. (2024; Zbl 07798403) Full Text: DOI
Abbas, M. I.; Alzabut, J.; Subramanian, M. On hybrid Caputo-proportional fractional differential inclusions in Banach spaces. (English) Zbl 07798360 J. Math. Sci., New York 274, No. 6, 791-806 (2023) and Neliniĭni Kolyvannya 25, No. 2-3, 147-160 (2022). MSC: 34G25 34A08 34A12 47H08 47H10 PDFBibTeX XMLCite \textit{M. I. Abbas} et al., J. Math. Sci., New York 274, No. 6, 791--806 (2023; Zbl 07798360) Full Text: DOI
Fahad, Hafiz Muhammad; Rehman, Mujeeb ur; Fernandez, Arran On Laplace transforms with respect to functions and their applications to fractional differential equations. (English) Zbl 07782483 Math. Methods Appl. Sci. 46, No. 7, 8304-8323 (2023). MSC: 44A10 26A33 34A08 34A25 44A35 PDFBibTeX XMLCite \textit{H. M. Fahad} et al., Math. Methods Appl. Sci. 46, No. 7, 8304--8323 (2023; Zbl 07782483) Full Text: DOI arXiv
Geng, Lu-Lu; Yang, Xiao-Jun; Alsolami, Abdulrahman Ali New fractional integral formulas and kinetic model associated with the hypergeometric superhyperbolic sine function. (English) Zbl 07781276 Math. Methods Appl. Sci. 46, No. 2, 1809-1820 (2023). MSC: 26A33 34A08 44A20 PDFBibTeX XMLCite \textit{L.-L. Geng} et al., Math. Methods Appl. Sci. 46, No. 2, 1809--1820 (2023; Zbl 07781276) Full Text: DOI
Akdemir, Ahmet Ocak; Ho Duy Binh; O’Regan, Donal; Anh Tuan Nguyen The dependence on fractional orders of mild solutions to the fractional diffusion equation with memory. (English) Zbl 07781170 Math. Methods Appl. Sci. 46, No. 1, 1076-1095 (2023). MSC: 35B30 35K20 35K58 35R11 PDFBibTeX XMLCite \textit{A. O. Akdemir} et al., Math. Methods Appl. Sci. 46, No. 1, 1076--1095 (2023; Zbl 07781170) Full Text: DOI
Liu, Jian-Gen; Yang, Xiao-Jun; Feng, Yi-Ying; Geng, Lu-Lu A new fractional derivative for solving time fractional diffusion wave equation. (English) Zbl 07781123 Math. Methods Appl. Sci. 46, No. 1, 267-272 (2023). MSC: 35R11 35A08 35A24 PDFBibTeX XMLCite \textit{J.-G. Liu} et al., Math. Methods Appl. Sci. 46, No. 1, 267--272 (2023; Zbl 07781123) Full Text: DOI
Emin, Sedef; Fernandez, Arran Incommensurate multi-term fractional differential equations with variable coefficients with respect to functions. (English) Zbl 1527.34014 Math. Methods Appl. Sci. 46, No. 8, 8618-8631 (2023). MSC: 34A08 26A33 47B33 PDFBibTeX XMLCite \textit{S. Emin} and \textit{A. Fernandez}, Math. Methods Appl. Sci. 46, No. 8, 8618--8631 (2023; Zbl 1527.34014) Full Text: DOI
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
Odibat, Zaid; Baleanu, Dumitru A new fractional derivative operator with generalized cardinal sine kernel: numerical simulation. (English) Zbl 07704432 Math. Comput. Simul. 212, 224-233 (2023). MSC: 26-XX 65-XX PDFBibTeX XMLCite \textit{Z. Odibat} and \textit{D. Baleanu}, Math. Comput. Simul. 212, 224--233 (2023; Zbl 07704432) Full Text: DOI
Al-Refai, Mohammed; Fernandez, Arran Generalising the fractional calculus with Sonine kernels via conjugations. (English) Zbl 07698189 J. Comput. Appl. Math. 427, Article ID 115159, 18 p. (2023). MSC: 47Gxx 26A33 47B33 47A05 34A08 PDFBibTeX XMLCite \textit{M. Al-Refai} and \textit{A. Fernandez}, J. Comput. Appl. Math. 427, Article ID 115159, 18 p. (2023; Zbl 07698189) Full Text: DOI
Fernandez, Arran; Rani, Noosheza; Tomovski, Živorad An operational calculus approach to Hilfer-Prabhakar fractional derivatives. (English) Zbl 1517.44003 Banach J. Math. Anal. 17, No. 2, Paper No. 33, 29 p. (2023). Reviewer: Peter Massopust (München) MSC: 44A40 26A33 34A08 PDFBibTeX XMLCite \textit{A. Fernandez} et al., Banach J. Math. Anal. 17, No. 2, Paper No. 33, 29 p. (2023; Zbl 1517.44003) Full Text: DOI
Fernandez, Arran Mikusiński’s operational calculus for general conjugated fractional derivatives. (English) Zbl 1525.26004 Bol. Soc. Mat. Mex., III. Ser. 29, No. 1, Paper No. 25, 24 p. (2023). MSC: 26A33 34A08 44A40 47B33 PDFBibTeX XMLCite \textit{A. Fernandez}, Bol. Soc. Mat. Mex., III. Ser. 29, No. 1, Paper No. 25, 24 p. (2023; Zbl 1525.26004) Full Text: DOI
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
Fernandez, Arran; Özarslan, Mehmet Ali; Kürt, Cemaliye A catalogue of semigroup properties for integral operators with Fox-Wright kernel functions. (English) Zbl 07776531 Stud. Appl. Math. 148, No. 4, 1477-1518 (2022). MSC: 47G10 47D06 26A33 PDFBibTeX XMLCite \textit{A. Fernandez} et al., Stud. Appl. Math. 148, No. 4, 1477--1518 (2022; Zbl 07776531) Full Text: DOI
Goswami, Mahesh Puri; Kumar, Raj Riemann-Liouville fractional operators of bicomplex order and its properties. (English) Zbl 1527.30033 Math. Methods Appl. Sci. 45, No. 10, 5699-5720 (2022). MSC: 30G35 PDFBibTeX XMLCite \textit{M. P. Goswami} and \textit{R. Kumar}, Math. Methods Appl. Sci. 45, No. 10, 5699--5720 (2022; Zbl 1527.30033) Full Text: DOI
Ho Duy Binh; Vo Viet Tri Mild solutions to a time-fractional diffusion equation with a hyper-Bessel operator have a continuous dependence with regard to fractional derivative orders. (English) Zbl 1518.35631 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, Spec. Iss., 24-38 (2022). MSC: 35R11 35B30 35K20 35K58 PDFBibTeX XMLCite \textit{Ho Duy Binh} and \textit{Vo Viet Tri}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, 24--38 (2022; Zbl 1518.35631) Full Text: DOI
Rani, Noosheza; Fernandez, Arran An operational calculus formulation of fractional calculus with general analytic kernels. (English) Zbl 07678885 Electron. Res. Arch. 30, No. 12, 4238-4255 (2022). MSC: 26-XX 35-XX PDFBibTeX XMLCite \textit{N. Rani} and \textit{A. Fernandez}, Electron. Res. Arch. 30, No. 12, 4238--4255 (2022; Zbl 07678885) Full Text: DOI
Samraiz, Muhammad; Mehmood, Ahsan; Iqbal, Sajid; Naheed, Saima; Rahman, Gauhar; Chu, Yu-Ming Generalized fractional operator with applications in mathematical physics. (English) Zbl 1508.26009 Chaos Solitons Fractals 165, Part 2, Article ID 112830, 9 p. (2022). MSC: 26A33 34A08 44A10 33B15 33E12 PDFBibTeX XMLCite \textit{M. Samraiz} et al., Chaos Solitons Fractals 165, Part 2, Article ID 112830, 9 p. (2022; Zbl 1508.26009) Full Text: DOI
Ledesma, César E. Torres; Gutierrez, Hernán C.; Rodríguez, Jesús A.; Zhang, Ziheng Even non-increasing solution for a Schrödinger type problem with Liouville-Weyl fractional derivative. (English) Zbl 1513.35241 Comput. Appl. Math. 41, No. 8, Paper No. 404, 20 p. (2022). MSC: 35J60 35C20 35B33 49J45 PDFBibTeX XMLCite \textit{C. E. T. Ledesma} et al., Comput. Appl. Math. 41, No. 8, Paper No. 404, 20 p. (2022; Zbl 1513.35241) Full Text: DOI
Kucche, Kishor D.; Mali, Ashwini D.; Fernandez, Arran; Fahad, Hafiz Muhammad On tempered Hilfer fractional derivatives with respect to functions and the associated fractional differential equations. (English) Zbl 1507.26011 Chaos Solitons Fractals 163, Article ID 112547, 9 p. (2022). MSC: 26A33 34A08 47N20 PDFBibTeX XMLCite \textit{K. D. Kucche} et al., Chaos Solitons Fractals 163, Article ID 112547, 9 p. (2022; Zbl 1507.26011) Full Text: DOI
Wu, Guo-Cheng; Kong, Hua; Luo, Maokang; Fu, Hui; Huang, Lan-Lan Unified predictor-corrector method for fractional differential equations with general kernel functions. (English) Zbl 1503.65146 Fract. Calc. Appl. Anal. 25, No. 2, 648-667 (2022). MSC: 65L05 34A08 PDFBibTeX XMLCite \textit{G.-C. Wu} et al., Fract. Calc. Appl. Anal. 25, No. 2, 648--667 (2022; Zbl 1503.65146) Full Text: DOI
Chaudhary, Naveed Ishtiaq; Raja, Muhammad Asif Zahoor; Khan, Zeshan Aslam; Mehmood, Ammara; Shah, Syed Muslim Design of fractional hierarchical gradient descent algorithm for parameter estimation of nonlinear control autoregressive systems. (English) Zbl 1498.90248 Chaos Solitons Fractals 157, Article ID 111913, 11 p. (2022). MSC: 90C52 26A33 PDFBibTeX XMLCite \textit{N. I. Chaudhary} et al., Chaos Solitons Fractals 157, Article ID 111913, 11 p. (2022; Zbl 1498.90248) Full Text: DOI
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
Postnov, S. S. Investigation of the \(l\)-problem of moments for fractional-order equations with Atangana-Baleanu derivative. (English) Zbl 1506.37117 Lobachevskii J. Math. 43, No. 3, 691-696 (2022). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 37N35 35R11 26A33 PDFBibTeX XMLCite \textit{S. S. Postnov}, Lobachevskii J. Math. 43, No. 3, 691--696 (2022; Zbl 1506.37117) Full Text: DOI
Fernandez, Arran; Fahad, Hafiz Muhammad On the importance of conjugation relations in fractional calculus. (English) Zbl 1513.26012 Comput. Appl. Math. 41, No. 6, Paper No. 246, 12 p. (2022). MSC: 26A33 34A08 47A05 PDFBibTeX XMLCite \textit{A. Fernandez} and \textit{H. M. Fahad}, Comput. Appl. Math. 41, No. 6, Paper No. 246, 12 p. (2022; Zbl 1513.26012) Full Text: DOI
Aydin, Mustafa; Mahmudov, Nazim I.; Aktuğlu, Hüseyin; Baytunç, Erdem; Atamert, Mehmet S. On a study of the representation of solutions of a \(\Psi\)-Caputo fractional differential equations with a single delay. (English) Zbl 1501.34055 Electron. Res. Arch. 30, No. 3, 1016-1034 (2022). Reviewer: Snezhana Hristova (Plovdiv) MSC: 34K06 34K37 34K27 PDFBibTeX XMLCite \textit{M. Aydin} et al., Electron. Res. Arch. 30, No. 3, 1016--1034 (2022; Zbl 1501.34055) 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
Fernandez, Arran; Ustaoğlu, Ceren; Özarslan, Mehmet Ali On the analytical development of incomplete Riemann-Liouville fractional calculus. (English) Zbl 1506.26005 Turk. J. Math. 45, No. 3, 1418-1443 (2021). MSC: 26A33 30B40 33B20 PDFBibTeX XMLCite \textit{A. Fernandez} et al., Turk. J. Math. 45, No. 3, 1418--1443 (2021; Zbl 1506.26005) Full Text: DOI arXiv
Boutiara, Abdelatif; Abdo, Mohammed S.; Alqudah, Manar A.; Abdeljawad, Thabet On a class of Langevin equations in the frame of Caputo function-dependent-kernel fractional derivatives with antiperiodic boundary conditions. (English) Zbl 1484.34017 AIMS Math. 6, No. 6, 5518-5534 (2021). MSC: 34A08 34B10 PDFBibTeX XMLCite \textit{A. Boutiara} et al., AIMS Math. 6, No. 6, 5518--5534 (2021; Zbl 1484.34017) Full Text: DOI
Fleitas, Alberto; Nápoles Valdés, Juan E.; Rodríguez, José M.; Sigarreta-Almira, José María Note on the generalized conformable derivative. (English) Zbl 1490.26004 Rev. Unión Mat. Argent. 62, No. 2, 443-457 (2021). MSC: 26A33 26A24 PDFBibTeX XMLCite \textit{A. Fleitas} et al., Rev. Unión Mat. Argent. 62, No. 2, 443--457 (2021; Zbl 1490.26004) Full Text: DOI
Mehmood, Nayyar; Abbas, Ahsan; Abdeljawad, Thabet; Akgül, Ali Existence results for ABC-fractional differential equations with non-separated and integral type of boundary conditions. (English) Zbl 1487.34030 Fractals 29, No. 5, Article ID 2140016, 16 p. (2021). MSC: 34A08 26A33 34B10 47N20 PDFBibTeX XMLCite \textit{N. Mehmood} et al., Fractals 29, No. 5, Article ID 2140016, 16 p. (2021; Zbl 1487.34030) Full Text: DOI
Oumarou, Christian Maxime Steve; Fahad, Hafiz Muhammad; Djida, Jean-Daniel; Fernandez, Arran On fractional calculus with analytic kernels with respect to functions. (English) Zbl 1476.26002 Comput. Appl. Math. 40, No. 7, Paper No. 244, 24 p. (2021). MSC: 26A33 44A45 PDFBibTeX XMLCite \textit{C. M. S. Oumarou} et al., Comput. Appl. Math. 40, No. 7, Paper No. 244, 24 p. (2021; Zbl 1476.26002) Full Text: DOI arXiv
Fahad, Hafiz Muhammad; Fernandez, Arran Operational calculus for Caputo fractional calculus with respect to functions and the associated fractional differential equations. (English) Zbl 1510.44008 Appl. Math. Comput. 409, Article ID 126400, 13 p. (2021). MSC: 44A45 26A33 33E12 PDFBibTeX XMLCite \textit{H. M. Fahad} and \textit{A. Fernandez}, Appl. Math. Comput. 409, Article ID 126400, 13 p. (2021; Zbl 1510.44008) Full Text: DOI
Feng, Yi-Ying; Yang, Xiao-Jun; Liu, Jian-Gen; Chen, Zhan-Qing Rheological analysis of the general fractional-order viscoelastic model involving the Miller-Ross kernel. (English) Zbl 1494.74012 Acta Mech. 232, No. 8, 3141-3148 (2021). Reviewer: Vinod K. Arya (Dallas) MSC: 74D99 74A20 74S40 26A33 PDFBibTeX XMLCite \textit{Y.-Y. Feng} et al., Acta Mech. 232, No. 8, 3141--3148 (2021; Zbl 1494.74012) Full Text: DOI
Fernandez, Arran; Djida, Jean-Daniel Fractional differential relations for the Lerch zeta function. (English) Zbl 1470.11228 Arch. Math. 117, No. 5, 515-527 (2021). MSC: 11M35 26A33 35R50 30B40 PDFBibTeX XMLCite \textit{A. Fernandez} and \textit{J.-D. Djida}, Arch. Math. 117, No. 5, 515--527 (2021; Zbl 1470.11228) Full Text: DOI arXiv
Fazli, Hossein; Sun, HongGuang; Nieto, Juan J. Fréchet-Kolmogorov compactness of Prabhakar integral operator. (English) Zbl 1475.45021 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 165, 10 p. (2021). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 45P05 46B50 33E12 PDFBibTeX XMLCite \textit{H. Fazli} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 165, 10 p. (2021; Zbl 1475.45021) Full Text: DOI
Fahad, Hafiz Muhammad; Fernandez, Arran; Ur Rehman, Mujeeb; Siddiqi, Maham Tempered and Hadamard-type fractional calculus with respect to functions. (English) Zbl 1470.26009 Mediterr. J. Math. 18, No. 4, Paper No. 143, 28 p. (2021). MSC: 26A33 44A45 PDFBibTeX XMLCite \textit{H. M. Fahad} et al., Mediterr. J. Math. 18, No. 4, Paper No. 143, 28 p. (2021; Zbl 1470.26009) Full Text: DOI arXiv
Khan, Adnan; Manzoor, Tayyaba; Kahsay, Hafte Amsalu; Wubneh, Kahsay Godifey Laplace operator with Caputo-type Marichev-Saigo-Maeda fractional differential operator of extended Mittag-Leffler function. (English) Zbl 1465.26007 Discrete Dyn. Nat. Soc. 2021, Article ID 5587616, 11 p. (2021). MSC: 26A33 33E12 PDFBibTeX XMLCite \textit{A. Khan} et al., Discrete Dyn. Nat. Soc. 2021, Article ID 5587616, 11 p. (2021; Zbl 1465.26007) Full Text: DOI
Adjimi, Naas; Boutiara, Abdelatif; Abdo, Mohammed S.; Benbachir, Maamar Existence results for nonlinear neutral generalized Caputo fractional differential equations. (English) Zbl 1470.34008 J. Pseudo-Differ. Oper. Appl. 12, No. 2, Paper No. 25, 18 p. (2021). MSC: 34A08 34D10 47N20 34B10 PDFBibTeX XMLCite \textit{N. Adjimi} et al., J. Pseudo-Differ. Oper. Appl. 12, No. 2, Paper No. 25, 18 p. (2021; Zbl 1470.34008) Full Text: DOI
Yang, Zebin; Ding, Qifeng; Sun, Xiaodong; Zhu, Huimin; Lu, Chengling Fractional-order sliding mode control for a bearingless induction motor based on improved load torque observer. (English) Zbl 1464.93014 J. Franklin Inst. 358, No. 7, 3701-3725 (2021). MSC: 93B12 93C15 26A33 93B53 PDFBibTeX XMLCite \textit{Z. Yang} et al., J. Franklin Inst. 358, No. 7, 3701--3725 (2021; Zbl 1464.93014) Full Text: DOI
Fahad, Hafiz Muhammad; ur Rehman, Mujeeb Generalized substantial fractional operators and well-posedness of Cauchy problem. (English) Zbl 1466.34007 Bull. Malays. Math. Sci. Soc. (2) 44, No. 3, 1501-1524 (2021). MSC: 34A08 34A12 26A33 26A39 47E05 PDFBibTeX XMLCite \textit{H. M. Fahad} and \textit{M. ur Rehman}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 3, 1501--1524 (2021; Zbl 1466.34007) Full Text: DOI arXiv
Fernandez, Arran; Bouzouina, Chaima Fractionalisation of complex d-bar derivatives. (English) Zbl 1462.30006 Complex Var. Elliptic Equ. 66, No. 3, 437-475 (2021). MSC: 30A99 26A33 PDFBibTeX XMLCite \textit{A. Fernandez} and \textit{C. Bouzouina}, Complex Var. Elliptic Equ. 66, No. 3, 437--475 (2021; Zbl 1462.30006) 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
Bazhlekova, Emilia; Bazhlekov, Ivan Identification of a space-dependent source term in a nonlocal problem for the general time-fractional diffusion equation. (English) Zbl 1458.35471 J. Comput. Appl. Math. 386, Article ID 113213, 19 p. (2021). MSC: 35R30 35R11 PDFBibTeX XMLCite \textit{E. Bazhlekova} and \textit{I. Bazhlekov}, J. Comput. Appl. Math. 386, Article ID 113213, 19 p. (2021; Zbl 1458.35471) Full Text: DOI
Gómez-Aguilar, J. F. Chaos and multiple attractors in a fractal-fractional Shinriki’s oscillator model. (English) Zbl 07572431 Physica A 539, Article ID 122918, 34 p. (2020). MSC: 82-XX PDFBibTeX XMLCite \textit{J. F. Gómez-Aguilar}, Physica A 539, Article ID 122918, 34 p. (2020; Zbl 07572431) Full Text: DOI
Yue, Chen; Khater, Mostafa M. A.; Attia, Raghda A. M.; Lu, Dianchen The plethora of explicit solutions of the fractional KS equation through liquid-gas bubbles mix under the thermodynamic conditions via Atangana-Baleanu derivative operator. (English) Zbl 1487.35426 Adv. Difference Equ. 2020, Paper No. 62, 12 p. (2020). MSC: 35R11 35C08 35R35 26A33 PDFBibTeX XMLCite \textit{C. Yue} et al., Adv. Difference Equ. 2020, Paper No. 62, 12 p. (2020; Zbl 1487.35426) Full Text: DOI
Agarwal, Praveen; Singh, Ram Modelling of transmission dynamics of Nipah virus (Niv): a fractional order approach. (English) Zbl 07530164 Physica A 547, Article ID 124243, 11 p. (2020). MSC: 82-XX PDFBibTeX XMLCite \textit{P. Agarwal} and \textit{R. Singh}, Physica A 547, Article ID 124243, 11 p. (2020; Zbl 07530164) Full Text: DOI
Khater, Mostafa M. A.; Attia, Raghda A. M.; Abdel-Aty, Abdel-Haleem; Alharbi, W.; Lu, Dianchen Abundant analytical and numerical solutions of the fractional microbiological densities model in bacteria cell as a result of diffusion mechanisms. (English) Zbl 1489.92102 Chaos Solitons Fractals 136, Article ID 109824, 7 p. (2020). MSC: 92C70 65D07 PDFBibTeX XMLCite \textit{M. M. A. Khater} et al., Chaos Solitons Fractals 136, Article ID 109824, 7 p. (2020; Zbl 1489.92102) Full Text: DOI
Kumar, Sunil; Kumar, Ranbir; Cattani, Carlo; Samet, Bessem Chaotic behaviour of fractional predator-prey dynamical system. (English) Zbl 1489.92119 Chaos Solitons Fractals 135, Article ID 109811, 11 p. (2020). MSC: 92D25 34A08 26A33 65T60 PDFBibTeX XMLCite \textit{S. Kumar} et al., Chaos Solitons Fractals 135, Article ID 109811, 11 p. (2020; Zbl 1489.92119) Full Text: DOI
Sweilam, Nasser Hassan; Al-Mekhlafi, Seham Mahyoub; Assiri, Taghreed; Atangana, Abdon Optimal control for cancer treatment mathematical model using Atangana-Baleanu-Caputo fractional derivative. (English) Zbl 1485.92053 Adv. Difference Equ. 2020, Paper No. 334, 21 p. (2020). MSC: 92C50 26A33 34A08 49N90 37N25 PDFBibTeX XMLCite \textit{N. H. Sweilam} et al., Adv. Difference Equ. 2020, Paper No. 334, 21 p. (2020; Zbl 1485.92053) Full Text: DOI
Aman, Sidra; Abdeljawad, Thabet; Al-Mdallal, Qasem Natural convection flow of a fluid using Atangana and Baleanu fractional model. (English) Zbl 1485.35373 Adv. Difference Equ. 2020, Paper No. 305, 15 p. (2020). MSC: 35R11 26A33 76A05 76E06 33E12 PDFBibTeX XMLCite \textit{S. Aman} et al., Adv. Difference Equ. 2020, Paper No. 305, 15 p. (2020; Zbl 1485.35373) Full Text: DOI
Khater, Mostafa M. A.; Baleanu, Dumitru On abundant new solutions of two fractional complex models. (English) Zbl 1482.35252 Adv. Difference Equ. 2020, Paper No. 268, 14 p. (2020). MSC: 35R11 35Q53 26A33 35C08 76U65 PDFBibTeX XMLCite \textit{M. M. A. Khater} and \textit{D. Baleanu}, Adv. Difference Equ. 2020, Paper No. 268, 14 p. (2020; Zbl 1482.35252) Full Text: DOI
Baleanu, Dumitru; Jleli, Mohamed; Kumar, Sunil; Samet, Bessem A fractional derivative with two singular kernels and application to a heat conduction problem. (English) Zbl 1482.26005 Adv. Difference Equ. 2020, Paper No. 252, 19 p. (2020). MSC: 26A33 34K37 26A18 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Adv. Difference Equ. 2020, Paper No. 252, 19 p. (2020; Zbl 1482.26005) Full Text: DOI
Bosch, Paul; Gómez-Aguilar, J. F.; Rodríguez, José M.; Sigarreta, José M. Analysis of dengue fever outbreak by generalized fractional derivative. (English) Zbl 1500.34036 Fractals 28, No. 8, Article ID 2040038, 12 p. (2020). Reviewer: Ismail Huseynov (Mersin) MSC: 34C60 92D30 34A08 26A33 34A55 PDFBibTeX XMLCite \textit{P. Bosch} et al., Fractals 28, No. 8, Article ID 2040038, 12 p. (2020; Zbl 1500.34036) Full Text: DOI
Abdel-Aty, Abdel-Haleem; Khater, Mostafa M. A.; Attia, Raghda A. M.; Abdel-Aty, M.; Eleuch, Hichem On the new explicit solutions of the fractional nonlinear space-time nuclear model. (English) Zbl 1482.35063 Fractals 28, No. 8, Article ID 2040035, 11 p. (2020). MSC: 35C05 35R11 35Q40 PDFBibTeX XMLCite \textit{A.-H. Abdel-Aty} et al., Fractals 28, No. 8, Article ID 2040035, 11 p. (2020; Zbl 1482.35063) Full Text: DOI
Rezazadeh, Hadi; Souleymanou, Abbagari; Korkmaz, Alper; Khater, Mostafa M. A.; Mukam, Serge P. T.; Kuetche, Victor K. New exact solitary waves solutions to the fractional Fokas-Lenells equation via Atangana-Baleanu derivative operator. (English) Zbl 1454.35369 Int. J. Mod. Phys. B 34, No. 31, Article ID 2050309, 14 p. (2020). MSC: 35Q60 35R11 35C08 PDFBibTeX XMLCite \textit{H. Rezazadeh} et al., Int. J. Mod. Phys. B 34, No. 31, Article ID 2050309, 14 p. (2020; Zbl 1454.35369) Full Text: DOI
Kucche, Kishor D.; Kharade, Jyoti P. Analysis of impulsive \(\varphi\)-Hilfer fractional differential equations. (English) Zbl 1453.34009 Mediterr. J. Math. 17, No. 5, Paper No. 163, 23 p. (2020). MSC: 34A08 34A12 34A37 34D10 47N20 PDFBibTeX XMLCite \textit{K. D. Kucche} and \textit{J. P. Kharade}, Mediterr. J. Math. 17, No. 5, Paper No. 163, 23 p. (2020; Zbl 1453.34009) Full Text: DOI arXiv
Abdeljawad, Thabet; Mohammed, Pshtiwan Othman; Kashuri, Artion New modified conformable fractional integral inequalities of Hermite-Hadamard type with applications. (English) Zbl 1448.26025 J. Funct. Spaces 2020, Article ID 4352357, 14 p. (2020). Reviewer: V. Lokesha (Bangalore) MSC: 26D15 26A33 PDFBibTeX XMLCite \textit{T. Abdeljawad} et al., J. Funct. Spaces 2020, Article ID 4352357, 14 p. (2020; Zbl 1448.26025) Full Text: DOI
Fernandez, Arran; Kürt, Cemaliye; Özarslan, Mehmet Ali A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators. (English) Zbl 1462.33009 Comput. Appl. Math. 39, No. 3, Paper No. 200, 27 p. (2020). MSC: 33E12 26A33 PDFBibTeX XMLCite \textit{A. Fernandez} et al., Comput. Appl. Math. 39, No. 3, Paper No. 200, 27 p. (2020; Zbl 1462.33009) Full Text: DOI arXiv
Yue, Chen; Khater, Mostafa M. A.; Inc, Mustafa; Attia, Raghda A. M.; Lu, Dianchen Abundant analytical solutions of the fractional nonlinear \((2+1)\)-dimensional BLMP equation arising in incompressible fluid. (English) Zbl 1439.35412 Int. J. Mod. Phys. B 34, No. 9, Article ID 2050084, 13 p. (2020). MSC: 35Q35 35R11 35A25 35C08 35B35 PDFBibTeX XMLCite \textit{C. Yue} et al., Int. J. Mod. Phys. B 34, No. 9, Article ID 2050084, 13 p. (2020; Zbl 1439.35412) Full Text: DOI
Vellasco-Gomes, Arianne; de Figueiredo Camargo, Rubens; Bruno-Alfonso, Alexys Energy bands and Wannier functions of the fractional Kronig-Penney model. (English) Zbl 1460.81021 Appl. Math. Comput. 380, Article ID 125266, 16 p. (2020). MSC: 81Q05 35R11 81Q80 26A33 42A38 35B40 81R05 82D20 PDFBibTeX XMLCite \textit{A. Vellasco-Gomes} et al., Appl. Math. Comput. 380, Article ID 125266, 16 p. (2020; Zbl 1460.81021) Full Text: DOI
Ngoc, Tran Bao; Zhou, Yong; O’Regan, Donal; Tuan, Nguyen Huy On a terminal value problem for pseudoparabolic equations involving Riemann-Liouville fractional derivatives. (English) Zbl 1442.35235 Appl. Math. Lett. 106, Article ID 106373, 8 p. (2020). MSC: 35K70 35B30 35R11 PDFBibTeX XMLCite \textit{T. B. Ngoc} et al., Appl. Math. Lett. 106, Article ID 106373, 8 p. (2020; Zbl 1442.35235) Full Text: DOI
Babaei, A.; Jafari, H.; Banihashemi, S. Numerical solution of variable order fractional nonlinear quadratic integro-differential equations based on the sixth-kind Chebyshev collocation method. (English) Zbl 1451.65231 J. Comput. Appl. Math. 377, Article ID 112908, 12 p. (2020). MSC: 65R20 45J05 45G10 34A08 65L60 65L20 PDFBibTeX XMLCite \textit{A. Babaei} et al., J. Comput. Appl. Math. 377, Article ID 112908, 12 p. (2020; Zbl 1451.65231) Full Text: DOI
Fernandez, Arran; Ustaoğlu, Ceren On some analytic properties of tempered fractional calculus. (English) Zbl 1428.26012 J. Comput. Appl. Math. 366, Article ID 112400, 14 p. (2020). MSC: 26A33 PDFBibTeX XMLCite \textit{A. Fernandez} and \textit{C. Ustaoğlu}, J. Comput. Appl. Math. 366, Article ID 112400, 14 p. (2020; Zbl 1428.26012) Full Text: DOI arXiv
Saengthong, Warissara; Thailert, Ekkarath; Ntouyas, Sotiris K. Existence and uniqueness of solutions for system of Hilfer-Hadamard sequential fractional differential equations with two point boundary conditions. (English) Zbl 1487.34037 Adv. Difference Equ. 2019, Paper No. 525, 16 p. (2019). MSC: 34A08 26A33 34B15 34B10 47N20 PDFBibTeX XMLCite \textit{W. Saengthong} et al., Adv. Difference Equ. 2019, Paper No. 525, 16 p. (2019; Zbl 1487.34037) Full Text: DOI
Zhang, Yufeng; Yue, Chao; Zhang, Xiangzhi Upon solutions to the transonic plane-parallel gas flows. (English) Zbl 1485.35413 Adv. Difference Equ. 2019, Paper No. 302, 21 p. (2019). MSC: 35R11 26A33 76N15 76T10 35C06 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Adv. Difference Equ. 2019, Paper No. 302, 21 p. (2019; Zbl 1485.35413) Full Text: DOI
Ali, Farhad; Murtaza, Saqib; Khan, Ilyas; Sheikh, Nadeem Ahmad; Nisar, Kottakkaran Sooppy Atangana-Baleanu fractional model for the flow of Jeffrey nanofluid with diffusion-thermo effects: applications in engine oil. (English) Zbl 1485.76082 Adv. Difference Equ. 2019, Paper No. 346, 21 p. (2019). MSC: 76W05 76R10 76S05 26A33 PDFBibTeX XMLCite \textit{F. Ali} et al., Adv. Difference Equ. 2019, Paper No. 346, 21 p. (2019; Zbl 1485.76082) Full Text: DOI
Tran Thanh Binh; Baleanu, Dumitru; Nguyen Hoang Luc; Nguyen-H Can Determination of source term for the fractional Rayleigh-Stokes equation with random data. (English) Zbl 1499.35689 J. Inequal. Appl. 2019, Paper No. 308, 16 p. (2019). MSC: 35R11 35K05 65M70 PDFBibTeX XMLCite \textit{Tran Thanh Binh} et al., J. Inequal. Appl. 2019, Paper No. 308, 16 p. (2019; Zbl 1499.35689) 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