Karimov, Erkinjon; Ruzhansky, Michael; Toshtemirov, Bakhodirjon Solvability of the boundary-value problem for a mixed equation involving hyper-Bessel fractional differential operator and bi-ordinal Hilfer fractional derivative. (English) Zbl 07781111 Math. Methods Appl. Sci. 46, No. 1, 54-70 (2023). MSC: 35M12 35R11 PDFBibTeX XMLCite \textit{E. Karimov} et al., Math. Methods Appl. Sci. 46, No. 1, 54--70 (2023; Zbl 07781111) 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
Toshtemirov, Bakhodirjon On solvability of the non-local problem for the fractional mixed-type equation with Bessel operator. (English) Zbl 1524.35412 Fract. Differ. Calc. 12, No. 1, 63-76 (2022). MSC: 35M12 35R11 PDFBibTeX XMLCite \textit{B. Toshtemirov}, Fract. Differ. Calc. 12, No. 1, 63--76 (2022; Zbl 1524.35412) Full Text: DOI arXiv
Yang, Fan; Sun, Qiaoxi; Li, Xiaoxiao Two regularization methods for identifying the source term problem on the time-fractional diffusion equation with a hyper-Bessel operator. (English) Zbl 1499.35706 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1485-1518 (2022). MSC: 35R25 47A52 35R30 PDFBibTeX XMLCite \textit{F. Yang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1485--1518 (2022; Zbl 1499.35706) Full Text: DOI
Rao, Sabbavarapu Nageswara; Ahmadini, Abdullah Ali H. Multiple positive solutions for a system of \((p_1, p_2, p_3)\)-Laplacian Hadamard fractional order BVP with parameters. (English) Zbl 1494.34050 Adv. Difference Equ. 2021, Paper No. 436, 21 p. (2021). MSC: 34A08 34B18 34B10 47N20 34B15 26A33 PDFBibTeX XMLCite \textit{S. N. Rao} and \textit{A. A. H. Ahmadini}, Adv. Difference Equ. 2021, Paper No. 436, 21 p. (2021; Zbl 1494.34050) Full Text: DOI
Au, Vo Van; Singh, Jagdev; Nguyen, Anh Tuan Well-posedness results and blow-up for a semi-linear time fractional diffusion equation with variable coefficients. (English) Zbl 1478.35218 Electron. Res. Arch. 29, No. 6, 3581-3607 (2021). MSC: 35R11 26A33 35K15 35B40 35B44 33E12 44A20 PDFBibTeX XMLCite \textit{V. Van Au} et al., Electron. Res. Arch. 29, No. 6, 3581--3607 (2021; Zbl 1478.35218) Full Text: DOI
Pachon, Angelica; Polito, Federico; Ricciuti, Costantino On discrete-time semi-Markov processes. (English) Zbl 1470.60241 Discrete Contin. Dyn. Syst., Ser. B 26, No. 3, 1499-1529 (2021). MSC: 60K15 60J10 60G50 60G51 PDFBibTeX XMLCite \textit{A. Pachon} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 3, 1499--1529 (2021; Zbl 1470.60241) Full Text: DOI arXiv
Luc, Nguyen Hoang; Huynh, Le Nhat; Baleanu, Dumitru; Can, Nguyen Huu Identifying the space source term problem for a generalization of the fractional diffusion equation with hyper-Bessel operator. (English) Zbl 1482.35253 Adv. Difference Equ. 2020, Paper No. 261, 23 p. (2020). MSC: 35R11 35R30 35R25 26A33 PDFBibTeX XMLCite \textit{N. H. Luc} et al., Adv. Difference Equ. 2020, Paper No. 261, 23 p. (2020; Zbl 1482.35253) Full Text: DOI
Zhang, Kangqun Applications of Erdélyi-Kober fractional integral for solving time-fractional Tricomi-Keldysh type equation. (English) Zbl 1488.35589 Fract. Calc. Appl. Anal. 23, No. 5, 1381-1400 (2020). MSC: 35R11 26A33 34A08 PDFBibTeX XMLCite \textit{K. Zhang}, Fract. Calc. Appl. Anal. 23, No. 5, 1381--1400 (2020; Zbl 1488.35589) Full Text: DOI
Beghin, Luisa; Gajda, Janusz Tempered relaxation equation and related generalized stable processes. (English) Zbl 1474.60130 Fract. Calc. Appl. Anal. 23, No. 5, 1248-1273 (2020). MSC: 60G52 34A08 33B20 60G18 PDFBibTeX XMLCite \textit{L. Beghin} and \textit{J. Gajda}, Fract. Calc. Appl. Anal. 23, No. 5, 1248--1273 (2020; Zbl 1474.60130) Full Text: DOI arXiv
Zhang, Kangqun Existence results for a generalization of the time-fractional diffusion equation with variable coefficients. (English) Zbl 1524.35733 Bound. Value Probl. 2019, Paper No. 10, 11 p. (2019). MSC: 35R11 PDFBibTeX XMLCite \textit{K. Zhang}, Bound. Value Probl. 2019, Paper No. 10, 11 p. (2019; Zbl 1524.35733) Full Text: DOI
Kolokol’tsov, V. N. Mixed fractional differential equations and generalized operator-valued Mittag-Leffler functions. (English. Russian original) Zbl 1439.35538 Math. Notes 106, No. 5, 740-756 (2019); translation from Mat. Zametki 106, No. 5, 687-707 (2019). MSC: 35R11 33E12 PDFBibTeX XMLCite \textit{V. N. Kolokol'tsov}, Math. Notes 106, No. 5, 740--756 (2019; Zbl 1439.35538); translation from Mat. Zametki 106, No. 5, 687--707 (2019) Full Text: DOI
Kolokoltsov, Vassili N. The probabilistic point of view on the generalized fractional partial differential equations. (English) Zbl 1483.35002 Fract. Calc. Appl. Anal. 22, No. 3, 543-600 (2019). MSC: 35-02 35R11 35S05 35S15 60J25 60J35 60J50 PDFBibTeX XMLCite \textit{V. N. Kolokoltsov}, Fract. Calc. Appl. Anal. 22, No. 3, 543--600 (2019; Zbl 1483.35002) Full Text: DOI
Ashyralyev, Allaberen; Hamad, Ayman A note on fractional powers of strongly positive operators and their applications. (English) Zbl 07115434 Fract. Calc. Appl. Anal. 22, No. 2, 302-325 (2019). MSC: 47H07 47F05 46B70 26A33 PDFBibTeX XMLCite \textit{A. Ashyralyev} and \textit{A. Hamad}, Fract. Calc. Appl. Anal. 22, No. 2, 302--325 (2019; Zbl 07115434) Full Text: DOI
Awad, Hamed Kamal; Darwish, Mohamed Abdalla On Erdélyi-Kober cubic fractional integral equation of Urysohn-Volterra type. (English) Zbl 1437.45003 Differ. Uravn. Protsessy Upr. 2019, No. 1, 70-83 (2019). Reviewer: Ahmed M. A. El-Sayed (Alexandria) MSC: 45G05 45G10 47H30 26A33 PDFBibTeX XMLCite \textit{H. K. Awad} and \textit{M. A. Darwish}, Differ. Uravn. Protsessy Upr. 2019, No. 1, 70--83 (2019; Zbl 1437.45003) Full Text: Link
Colombaro, Ivano; Garra, Roberto; Giusti, Andrea; Mainardi, Francesco Scott-Blair models with time-varying viscosity. (English) Zbl 1407.76007 Appl. Math. Lett. 86, 57-63 (2018). MSC: 76A10 PDFBibTeX XMLCite \textit{I. Colombaro} et al., Appl. Math. Lett. 86, 57--63 (2018; Zbl 1407.76007) Full Text: DOI arXiv
Garra, Roberto; Giusti, Andrea; Mainardi, Francesco The fractional Dodson diffusion equation: a new approach. (English) Zbl 1403.35314 Ric. Mat. 67, No. 2, 899-909 (2018). MSC: 35R11 33E12 45K05 PDFBibTeX XMLCite \textit{R. Garra} et al., Ric. Mat. 67, No. 2, 899--909 (2018; Zbl 1403.35314) Full Text: DOI arXiv
Garra, Roberto; Orsingher, Enzo; Polito, Federico A note on Hadamard fractional differential equations with varying coefficients and their applications in probability. (English) Zbl 1499.34048 Mathematics 6, No. 1, Paper No. 4, 10 p. (2018). MSC: 34A08 33E12 60G55 PDFBibTeX XMLCite \textit{R. Garra} et al., Mathematics 6, No. 1, Paper No. 4, 10 p. (2018; Zbl 1499.34048) Full Text: DOI arXiv
Al-Musalhi, Fatma; Al-Salti, Nasser; Karimov, Erkinjon Initial boundary value problems for a fractional differential equation with hyper-Bessel operator. (English) Zbl 1439.35515 Fract. Calc. Appl. Anal. 21, No. 1, 200-219 (2018). MSC: 35R11 35R30 33E12 35C10 PDFBibTeX XMLCite \textit{F. Al-Musalhi} et al., Fract. Calc. Appl. Anal. 21, No. 1, 200--219 (2018; Zbl 1439.35515) Full Text: DOI arXiv
Lopes, António M.; Tenreiro Machado, J. A.; Ramalho, Elisa Fractional-order model of wine. (English) Zbl 1386.78019 Edelman, Mark (ed.) et al., Chaotic, fractional, and complex dynamics: new insights and perspectives. Cham: Springer (ISBN 978-3-319-68108-5/hbk; 978-3-319-68109-2/ebook). Springer: Complexity; Understanding Complex Systems, 191-203 (2018). MSC: 78A99 PDFBibTeX XMLCite \textit{A. M. Lopes} et al., in: Chaotic, fractional, and complex dynamics: new insights and perspectives. Cham: Springer. 191--203 (2018; Zbl 1386.78019) Full Text: DOI
Ugurlu, Ekin; Baleanu, Dumitru; Tas, Kenan Regular fractional differential equations in the Sobolev space. (English) Zbl 1369.34019 Fract. Calc. Appl. Anal. 20, No. 3, 810-817 (2017). MSC: 34A08 34B24 34B05 PDFBibTeX XMLCite \textit{E. Ugurlu} et al., Fract. Calc. Appl. Anal. 20, No. 3, 810--817 (2017; Zbl 1369.34019) Full Text: DOI
Górska, Katarzyna; Horzela, Andrzej; Penson, Karol A.; Dattoli, Giuseppe; Duchamp, Gerard H. E. The stretched exponential behavior and its underlying dynamics. The phenomenological approach. (English) Zbl 1360.35311 Fract. Calc. Appl. Anal. 20, No. 1, 260-283 (2017). MSC: 35R11 60G18 60G52 49M20 PDFBibTeX XMLCite \textit{K. Górska} et al., Fract. Calc. Appl. Anal. 20, No. 1, 260--283 (2017; Zbl 1360.35311) Full Text: DOI arXiv
Garrappa, Roberto; Mainardi, Francesco; Guido, Maione Models of dielectric relaxation based on completely monotone functions. (English) Zbl 1499.78010 Fract. Calc. Appl. Anal. 19, No. 5, 1105-1160 (2016). MSC: 78A48 26A33 33E12 34A08 26A48 44A10 PDFBibTeX XMLCite \textit{R. Garrappa} et al., Fract. Calc. Appl. Anal. 19, No. 5, 1105--1160 (2016; Zbl 1499.78010) Full Text: DOI arXiv
Caballero, Josefa; Darwish, Mohamed Abdalla; Sadarangani, Kishin A perturbed quadratic equation involving Erdélyi-Kober fractional integral. (English) Zbl 1357.45004 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 110, No. 2, 541-555 (2016). Reviewer: K. C. Gupta (Jaipur) MSC: 45G10 47H08 47H10 PDFBibTeX XMLCite \textit{J. Caballero} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 110, No. 2, 541--555 (2016; Zbl 1357.45004) Full Text: DOI
Gómez-Aguilar, José Francisco; Yépez-Martínez, Huitzilin; Calderón-Ramón, Celia; Cruz-Orduña, Ines; Escobar-Jiménez, Ricardo Fabricio; Olivares-Peregrino, Victor Hugo Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel. (English) Zbl 1338.70026 Entropy 17, No. 9, 6289-6303 (2015). MSC: 70J99 34A08 PDFBibTeX XMLCite \textit{J. F. Gómez-Aguilar} et al., Entropy 17, No. 9, 6289--6303 (2015; Zbl 1338.70026) Full Text: DOI
Concezzi, Moreno; Garra, Roberto; Spigler, Renato Fractional relaxation and fractional oscillation models involving Erdélyi-Kober integrals. (English) Zbl 1343.34011 Fract. Calc. Appl. Anal. 18, No. 5, 1212-1231 (2015). Reviewer: Neville Ford (Chester) MSC: 34A08 26A33 65L05 26A48 33E12 34C15 34A12 PDFBibTeX XMLCite \textit{M. Concezzi} et al., Fract. Calc. Appl. Anal. 18, No. 5, 1212--1231 (2015; Zbl 1343.34011) Full Text: DOI arXiv
Kolokoltsov, Vassili On fully mixed and multidimensional extensions of the Caputo and Riemann-Liouville derivatives, related Markov processes and fractional differential equations. (English) Zbl 1321.26013 Fract. Calc. Appl. Anal. 18, No. 4, 1039-1073 (2015). MSC: 26A33 34A08 35S15 60J50 60J75 PDFBibTeX XMLCite \textit{V. Kolokoltsov}, Fract. Calc. Appl. Anal. 18, No. 4, 1039--1073 (2015; Zbl 1321.26013) Full Text: DOI arXiv
Costa, F. Silva; Marão, J. A. P. F.; Soares, J. C. Alves; de Oliveira, E. Capelas Similarity solution to fractional nonlinear space-time diffusion-wave equation. (English) Zbl 1507.35318 J. Math. Phys. 56, No. 3, 033507, 16 p. (2015). MSC: 35R11 35K55 35K57 60J60 26A33 PDFBibTeX XMLCite \textit{F. S. Costa} et al., J. Math. Phys. 56, No. 3, 033507, 16 p. (2015; Zbl 1507.35318) Full Text: DOI
de Oliveira, Edmundo Capelas; Mainardi, Francesco; Vaz, Jayme jun. Fractional models of anomalous relaxation based on the Kilbas and Saigo function. (English) Zbl 1307.34007 Meccanica 49, No. 9, 2049-2060 (2014). MSC: 34A08 33E12 PDFBibTeX XMLCite \textit{E. C. de Oliveira} et al., Meccanica 49, No. 9, 2049--2060 (2014; Zbl 1307.34007) Full Text: DOI