Ferreira, Rui A. C.; Simon, Thomas On the log-concavity of the Wright function. (English) Zbl 07935780 Constr. Approx. 60, No. 2, 309-338 (2024). Reviewer: Thomas Ernst (Uppsala) MSC: 33E20 33E12 33C10 33B15 26A51 26A33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Basti, Bilal; Djemiat, Rabah; Benhamidouche, Noureddine Theoretical studies on the existence and uniqueness of solutions for a multidimensional nonlinear time and space-fractional reaction-diffusion/wave equation. (English) Zbl 1523.35279 Mem. Differ. Equ. Math. Phys. 89, 1-16 (2023). MSC: 35R11 35A01 35C06 34A08 34K37 × Cite Format Result Cite Review PDF Full Text: Link
Pskhu, A. V. D’Alembert formula for diffusion-wave equation. (English) Zbl 1544.35196 Lobachevskii J. Math. 44, No. 2, 644-652 (2023). MSC: 35R11 35C05 35L10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Haixiang; Liu, Yuan; Yang, Xuehua An efficient ADI difference scheme for the nonlocal evolution problem in three-dimensional space. (English) Zbl 1515.65338 J. Appl. Math. Comput. 69, No. 1, 651-674 (2023). MSC: 65R20 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Kiyanpour, Mojtaba; Zangeneh, Bijan Z.; Jahanipur, Ruhollah Global solution to non-self-adjoint stochastic Volterra equation. (English) Zbl 1515.60235 Stoch. Dyn. 23, No. 1, Article ID 2350004, 24 p. (2023). Reviewer: Toader Morozan (Bucureşti) MSC: 60H15 60H20 45D05 34A12 × Cite Format Result Cite Review PDF Full Text: DOI
Pskhu, A. V. Green function of the first boundary-value problem for the fractional diffusion-wave equation in a multidimensional rectangular domain. (English. Russian original) Zbl 1491.35436 J. Math. Sci., New York 260, No. 3, 325-334 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 167, 52-61 (2019). MSC: 35R11 35K20 35L20 × Cite Format Result Cite Review PDF Full Text: DOI
Borikhanov, Meiirkhan; Torebek, Berikbol T. Local and blowing-up solutions for an integro-differential diffusion equation and system. (English) Zbl 1485.35374 Chaos Solitons Fractals 148, Article ID 111041, 18 p. (2021). MSC: 35R11 35B44 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Consiglio, Armando; Mainardi, Francesco Fractional diffusive waves in the Cauchy and signalling problems. (English) Zbl 1472.35430 Beghin, Luisa (ed.) et al., Nonlocal and fractional operators. Selected papers based on the presentations at the international workshop, Rome, Italy, April 12–13, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 26, 133-153 (2021). MSC: 35R11 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Borikhanov, Meiirkhan B.; Torebek, Berikbol T. Local existence and global nonexistence results for an integro-differential diffusion system with nonlocal nonlinearities. (English) Zbl 1470.35072 Math. Methods Appl. Sci. 44, No. 2, 1796-1811 (2021). MSC: 35B44 35B33 35R09 35R11 × Cite Format Result Cite Review PDF Full Text: DOI Link
Consiglio, Armando; Mainardi, Francesco On the evolution of fractional diffusive waves. (English) Zbl 1469.35219 Ric. Mat. 70, No. 1, 21-33 (2021). MSC: 35R11 26A33 33E12 34A08 35-03 65D20 60J60 74J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Hongbin; Xu, Da; Cao, Jiliang; Zhou, Jun A formally second order BDF ADI difference scheme for the three-dimensional time-fractional heat equation. (English) Zbl 1480.65207 Int. J. Comput. Math. 97, No. 5, 1100-1117 (2020). MSC: 65M06 35R11 45K05 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Pskhu, A. V. Stabilization of solutions to the Cauchy problem for fractional diffusion-wave equation. (English. Russian original) Zbl 1450.35277 J. Math. Sci., New York 250, No. 5, 800-810 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 149, 84-94 (2018). MSC: 35R11 35B40 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Su, Xiaoyan; Zheng, Jiqiang Hölder regularity for the time fractional Schrödinger equation. (English) Zbl 1446.35254 Math. Methods Appl. Sci. 43, No. 7, 4847-4870 (2020). MSC: 35R11 35B65 42B15 35A09 35L05 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ruzhansky, M.; Tokmagambetov, N.; Torebek, B. T. Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group. (English) Zbl 1442.45010 Integral Transforms Spec. Funct. 31, No. 1, 1-9 (2020). MSC: 45K05 35R11 34B10 35R03 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Cheng-Gang; Li, Miao; Piskarev, Sergey; Meerschaert, Mark M. The fractional d’Alembert’s formulas. (English) Zbl 1433.45008 J. Funct. Anal. 277, No. 12, Article ID 108279, 35 p. (2019). Reviewer: Rodica Luca (Iaşi) MSC: 45K05 45N05 35R11 26A33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Du, Ruilian; Yan, Yubin; Liang, Zongqi A high-order scheme to approximate the Caputo fractional derivative and its application to solve the fractional diffusion wave equation. (English) Zbl 1416.65258 J. Comput. Phys. 376, 1312-1330 (2019). MSC: 65M06 35R11 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chen, Hongbin; Xu, Da; Zhou, Jun A second-order accurate numerical method with graded meshes for an evolution equation with a weakly singular kernel. (English) Zbl 1524.65327 J. Comput. Appl. Math. 356, 152-163 (2019). MSC: 65M06 65R20 45K05 35R11 65M15 65N06 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Quanguo; Li, Yaning Global well-posedness and blow-up solutions of the Cauchy problem for a time-fractional superdiffusion equation. (English) Zbl 1414.35260 J. Evol. Equ. 19, No. 1, 271-303 (2019). MSC: 35R11 35B44 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hongbin; Xu, Da; Cao, Jiliang; Zhou, Jun A backward Euler alternating direction implicit difference scheme for the three-dimensional fractional evolution equation. (English) Zbl 1407.65096 Numer. Methods Partial Differ. Equations 34, No. 3, 938-958 (2018). MSC: 65M06 65M12 65M15 65D32 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hongbin; Xu, Da; Peng, Yulong A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation. (English) Zbl 1443.65439 Appl. Math. Modelling 41, 54-67 (2017). MSC: 65R20 45K05 26A33 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Pskhu, Arsen V. The first boundary-value problem for a fractional diffusion-wave equation in a non-cylindrical domain. (English. Russian original) Zbl 1516.35474 Izv. Math. 81, No. 6, 1212-1233 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 6, 158-179 (2017). MSC: 35R11 35K20 35L20 × Cite Format Result Cite Review PDF Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis. (English) Zbl 1368.65261 Appl. Numer. Math. 119, 51-66 (2017). MSC: 65R20 45K05 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Shivanian, Elyas; Jafarabadi, Ahmad An improved spectral meshless radial point interpolation for a class of time-dependent fractional integral equations: 2D fractional evolution equation. (English) Zbl 1417.65180 J. Comput. Appl. Math. 325, 18-33 (2017). MSC: 65M70 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Orsingher, Enzo; Toaldo, Bruno Space-time fractional equations and the related stable processes at random time. (English) Zbl 1405.60065 J. Theor. Probab. 30, No. 1, 1-26 (2017). MSC: 60G52 35R11 60J65 35C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Garcia-Bernabé, Abel; Hernández, S. I.; Del Castillo, L. F.; Jou, David Continued-fraction expansion of transport coefficients with fractional calculus. (English) Zbl 1372.35336 Mathematics 4, No. 4, Paper No. 67, 10 p. (2016). MSC: 35R11 35F05 35C99 × Cite Format Result Cite Review PDF Full Text: DOI
Thanh-Anh Nguyen; Dinh-Ke Tran; Nhu-Quan Nguyen Weak stability for integro-differential inclusions of diffusion-wave type involving infinite delays. (English) Zbl 1357.35042 Discrete Contin. Dyn. Syst., Ser. B 21, No. 10, 3637-3654 (2016). MSC: 35B35 37C75 47H08 47H10 35R70 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yuan-Ming; Wang, Tao Error analysis of a high-order compact ADI method for two-dimensional fractional convection-subdiffusion equations. (English) Zbl 1359.65173 Calcolo 53, No. 3, 301-330 (2016). Reviewer: Petr Sváček (Praha) MSC: 65M15 65M06 65M12 35R11 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Ezzat, Magdy A.; Sabbah, A. S.; El-Bary, A. A.; Ezzat, S. M. Thermoelectric viscoelastic fluid with fractional integral and derivative heat transfer. (English) Zbl 1499.76012 Adv. Appl. Math. Mech. 7, No. 4, 528-548 (2015). MSC: 76A10 76W05 44A10 65R10 80A19 35K05 26A33 35R11 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yuan-Ming A compact finite difference method for solving a class of time fractional convection-subdiffusion equations. (English) Zbl 1348.65120 BIT 55, No. 4, 1187-1217 (2015). Reviewer: Vit Dolejsi (Praha) MSC: 65M06 65M12 65M15 35R11 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yuan-Ming A compact finite difference method for a class of time fractional convection-diffusion-wave equations with variable coefficients. (English) Zbl 1329.65190 Numer. Algorithms 70, No. 3, 625-651 (2015). Reviewer: Abdallah Bradji (Annaba) MSC: 65M06 65M12 65M15 35R11 35L10 × Cite Format Result Cite Review PDF Full Text: DOI
Garra, Roberto; Orsingher, Enzo; Polito, Federico Fractional diffusions with time-varying coefficients. (English) Zbl 1337.60064 J. Math. Phys. 56, No. 9, 093301, 17 p. (2015). Reviewer: Peter Parczewski (Mannheim) MSC: 60G22 60J60 35R11 26A33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chuong, Nguyen Minh; Ke, Tran Dinh; Quan, Nguyen Nhu Stability for a class of fractional partial integro-differential equations. (English) Zbl 1301.34095 J. Integral Equations Appl. 26, No. 2, 145-170 (2014). MSC: 34K30 47H08 47H10 34K37 34K20 34K45 35R09 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Dea, John R. Absorbing boundary conditions for the fractional wave equation. (English) Zbl 1290.65073 Appl. Math. Comput. 219, No. 18, 9810-9820 (2013). MSC: 65M06 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Cheng-Gang; Kostić, Marko; Li, Miao; Piskarev, Sergey On a class of time-fractional differential equations. (English) Zbl 1312.34094 Fract. Calc. Appl. Anal. 15, No. 4, 639-668 (2012). MSC: 34G10 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Sur, Abhik; Kanoria, M. Fractional order two-temperature thermoelasticity with finite wave speed. (English) Zbl 1307.74029 Acta Mech. 223, No. 12, 2685-2701 (2012). MSC: 74F05 35Q74 35R11 74B05 × Cite Format Result Cite Review PDF Full Text: DOI
Bandrowski, B.; Karczewska, A.; Rozmej, P. Numerical solutions to fractional perturbed Volterra equations. (English) Zbl 1259.65210 Abstr. Appl. Anal. 2012, Article ID 529602, 19 p. (2012). MSC: 65R20 45D05 45E10 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Ezzat, Magdy A.; El Karamany, Ahmed S. Theory of fractional order in electro-thermoelasticity. (English) Zbl 1278.74036 Eur. J. Mech., A, Solids 30, No. 4, 491-500 (2011). MSC: 74F05 74F15 × Cite Format Result Cite Review PDF Full Text: DOI
Ezzat, Magdy A.; El Karamany, Ahmed S. Fractional order heat conduction law in magneto-thermoelasticity involving two temperatures. (English) Zbl 1264.74049 Z. Angew. Math. Phys. 62, No. 5, 937-952 (2011). MSC: 74F15 74F05 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Ezzat, Magdy A. Theory of fractional order in generalized thermoelectric MHD. (English) Zbl 1228.76189 Appl. Math. Modelling 35, No. 10, 4965-4978 (2011). MSC: 76W05 35R11 35Q35 26A33 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Orsingher, Enzo; D’Ovidio, Mirko Vibrations and fractional vibrations of rods, plates and Fresnel pseudo-processes. (English) Zbl 1237.74082 J. Stat. Phys. 145, No. 1, 143-174 (2011). Reviewer: I. A. Parinov (Rostov-na-Donu) MSC: 74H45 74H50 74S60 60G22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Guo-Cheng; Lee, E. W. M. Fractional variational iteration method and its application. (English) Zbl 1237.34007 Phys. Lett., A 374, No. 25, 2506-2509 (2010). MSC: 34A08 35R11 26A33 39B12 × Cite Format Result Cite Review PDF Full Text: DOI
Du, R.; Cao, W. R.; Sun, Z. Z. A compact difference scheme for the fractional diffusion-wave equation. (English) Zbl 1201.65154 Appl. Math. Modelling 34, No. 10, 2998-3007 (2010). MSC: 65M06 34A08 26A33 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Fu-Bo; Li, Miao; Zheng, Quan Fractional evolution equations governed by coercive differential operators. (English) Zbl 1168.47036 Abstr. Appl. Anal. 2009, Article ID 438690, 14 p. (2009). MSC: 47D60 26A33 47D06 34G10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Orsingher, Enzo; Beghin, Luisa Fractional diffusion equations and processes with randomly varying time. (English) Zbl 1173.60027 Ann. Probab. 37, No. 1, 206-249 (2009). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60J60 26A33 60G52 60J65 33E12 33C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Daftardar-Gejji, Varsha; Bhalekar, Sachin Boundary value problems for multi-term fractional differential equations. (English) Zbl 1151.26004 J. Math. Anal. Appl. 345, No. 2, 754-765 (2008). Reviewer: Juan J. Trujillo (La Laguna) MSC: 26A33 34A60 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Zhi-Zhong; Wu, Xiaonan A fully discrete difference scheme for a diffusion-wave system. (English) Zbl 1094.65083 Appl. Numer. Math. 56, No. 2, 193-209 (2006). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 65M06 35L15 × Cite Format Result Cite Review PDF Full Text: DOI
Cuesta, Eduardo; Lubich, Christian; Palencia, Cesar Convolution quadrature time discretization of fractional diffusion-wave equations. (English) Zbl 1090.65147 Math. Comput. 75, No. 254, 673-696 (2006). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 26A33 45K05 45G10 × Cite Format Result Cite Review PDF Full Text: DOI
Miao, Chang Xing; Yang, Han The self-similar solution to some nonlinear integro-differential equations corresponding to fractional order time derivative. (English) Zbl 1111.45008 Acta Math. Sin., Engl. Ser. 21, No. 6, 1337-1350 (2005). Reviewer: J. Banaś (Rzeszów) MSC: 45K05 45G10 × Cite Format Result Cite Review PDF Full Text: DOI
Cuesta, E.; Palencia, C. A fractional trapezoidal rule for integro-differential equations of fractional order in Banach spaces. (English) Zbl 1023.65151 Appl. Numer. Math. 45, No. 2-3, 139-159 (2003). Reviewer: Søren Christiansen (Lyngby) MSC: 65R20 45J05 45N05 × Cite Format Result Cite Review PDF Full Text: DOI
Jorquera, Héctor Simple algorithm for solving linear integrodifferential equations with variable limits. (English) Zbl 0873.65124 Comput. Phys. Commun. 86, No. 1-2, 91-96 (1995). MSC: 65R20 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Gripenberg, Gustaf Weak solutions of hyperbolic-parabolic Volterra equations. (English) Zbl 0817.45011 Trans. Am. Math. Soc. 343, No. 2, 675-694 (1994). Reviewer: J.Schönenberger-Deuel (Männedorf) MSC: 45K05 45G05 74Hxx × Cite Format Result Cite Review PDF Full Text: DOI