Ali, Muhammad; Aziz, Sara; Malik, Salman A. Inverse source problems for a space-time fractional differential equation. (English) Zbl 1466.35365 Inverse Probl. Sci. Eng. 28, No. 1, 47-68 (2020). MSC: 35R30 35R11 65N21 80A23 PDFBibTeX XMLCite \textit{M. Ali} et al., Inverse Probl. Sci. Eng. 28, No. 1, 47--68 (2020; Zbl 1466.35365) Full Text: DOI
Roscani, Sabrina D.; Caruso, Nahuel D.; Tarzia, Domingo A. Explicit solutions to fractional Stefan-like problems for Caputo and Riemann-Liouville derivatives. (English) Zbl 1450.35302 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105361, 16 p. (2020). MSC: 35R35 35R11 26A33 35C05 33E20 80A22 PDFBibTeX XMLCite \textit{S. D. Roscani} et al., Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105361, 16 p. (2020; Zbl 1450.35302) Full Text: DOI arXiv
Saifia, O.; Boucenna, D.; Chidouh, A. Study of Mainardi’s fractional heat problem. (English) Zbl 1442.35522 J. Comput. Appl. Math. 378, Article ID 112943, 8 p. (2020). MSC: 35R11 80A19 44A10 PDFBibTeX XMLCite \textit{O. Saifia} et al., J. Comput. Appl. Math. 378, Article ID 112943, 8 p. (2020; Zbl 1442.35522) Full Text: DOI
Bhatt, H. P.; Khaliq, A. Q. M.; Furati, K. M. Efficient high-order compact exponential time differencing method for space-fractional reaction-diffusion systems with nonhomogeneous boundary conditions. (English) Zbl 1437.65089 Numer. Algorithms 83, No. 4, 1373-1397 (2020). MSC: 65M06 65F05 26A33 35R11 35K57 80A32 35Q79 65M12 65M15 PDFBibTeX XMLCite \textit{H. P. Bhatt} et al., Numer. Algorithms 83, No. 4, 1373--1397 (2020; Zbl 1437.65089) Full Text: DOI
Xu, Qinwu; Xu, Yufeng Quenching study of two-dimensional fractional reaction-diffusion equation from combustion process. (English) Zbl 1442.80006 Comput. Math. Appl. 78, No. 5, 1490-1506 (2019). MSC: 80A25 92E20 35R11 65M60 PDFBibTeX XMLCite \textit{Q. Xu} and \textit{Y. Xu}, Comput. Math. Appl. 78, No. 5, 1490--1506 (2019; Zbl 1442.80006) Full Text: DOI
Želi, Velibor; Zorica, Dušan Analytical and numerical treatment of the heat conduction equation obtained via time-fractional distributed-order heat conduction law. (English) Zbl 1514.80002 Physica A 492, 2316-2335 (2018). MSC: 80A05 35Q79 35R11 80M20 PDFBibTeX XMLCite \textit{V. Želi} and \textit{D. Zorica}, Physica A 492, 2316--2335 (2018; Zbl 1514.80002) Full Text: DOI arXiv
Roscani, Sabrina D.; Bollati, Julieta; Tarzia, Domingo A. A new mathematical formulation for a phase change problem with a memory flux. (English) Zbl 1442.35563 Chaos Solitons Fractals 116, 340-347 (2018). MSC: 35R35 35R11 80A22 35C15 PDFBibTeX XMLCite \textit{S. D. Roscani} et al., Chaos Solitons Fractals 116, 340--347 (2018; Zbl 1442.35563) Full Text: DOI arXiv Link
Roscani, Sabrina; Tarzia, Domingo An integral relationship for a fractional one-phase Stefan problem. (English) Zbl 1418.35387 Fract. Calc. Appl. Anal. 21, No. 4, 901-918 (2018). MSC: 35R35 35C05 33E20 80A22 PDFBibTeX XMLCite \textit{S. Roscani} and \textit{D. Tarzia}, Fract. Calc. Appl. Anal. 21, No. 4, 901--918 (2018; Zbl 1418.35387) Full Text: DOI arXiv Link
Wen, Jin; Cheng, Jun-Feng The method of fundamental solution for the inverse source problem for the space-fractional diffusion equation. (English) Zbl 1409.65065 Inverse Probl. Sci. Eng. 26, No. 7, 925-941 (2018). MSC: 65M32 35R30 65M80 80A23 PDFBibTeX XMLCite \textit{J. Wen} and \textit{J.-F. Cheng}, Inverse Probl. Sci. Eng. 26, No. 7, 925--941 (2018; Zbl 1409.65065) Full Text: DOI
Roscani, Sabrina D.; Tarzia, Domingo A. Explicit solution for a two-phase fractional Stefan problem with a heat flux condition at the fixed face. (English) Zbl 1402.35305 Comput. Appl. Math. 37, No. 4, 4757-4771 (2018). MSC: 35R11 35C05 35R35 80A22 35Q79 PDFBibTeX XMLCite \textit{S. D. Roscani} and \textit{D. A. Tarzia}, Comput. Appl. Math. 37, No. 4, 4757--4771 (2018; Zbl 1402.35305) Full Text: DOI arXiv
Ceretani, Andrea N.; Tarzia, Domingo A. Determination of two unknown thermal coefficients through an inverse one-phase fractional Stefan problem. (English) Zbl 1364.35418 Fract. Calc. Appl. Anal. 20, No. 2, 399-421 (2017). MSC: 35R11 35C05 35R35 80A22 PDFBibTeX XMLCite \textit{A. N. Ceretani} and \textit{D. A. Tarzia}, Fract. Calc. Appl. Anal. 20, No. 2, 399--421 (2017; Zbl 1364.35418) Full Text: DOI arXiv
Kaur, Inderpreet; Mentrelli, Andrea; Bosseur, Frédéric; Filippi, Jean-Baptiste; Pagnini, Gianni Turbulence and fire-spotting effects into wild-land fire simulators. (English) Zbl 1461.76367 Commun. Nonlinear Sci. Numer. Simul. 39, 300-320 (2016). MSC: 76M99 76F80 76V05 80A25 86A10 PDFBibTeX XMLCite \textit{I. Kaur} et al., Commun. Nonlinear Sci. Numer. Simul. 39, 300--320 (2016; Zbl 1461.76367) Full Text: DOI arXiv Link
Wei, Song; Chen, Wen; Hon, Y. C. Characterizing time dependent anomalous diffusion process: a survey on fractional derivative and nonlinear models. (English) Zbl 1400.65047 Physica A 462, 1244-1251 (2016). MSC: 65M06 35R11 76R50 80A10 PDFBibTeX XMLCite \textit{S. Wei} et al., Physica A 462, 1244--1251 (2016; Zbl 1400.65047) Full Text: DOI
Shakeel, Abdul; Ahmad, Sohail; Khan, Hamid; Vieru, Dumitru Solutions with wright functions for time fractional convection flow near a heated vertical plate. (English) Zbl 1419.80011 Adv. Difference Equ. 2016, Paper No. 51, 11 p. (2016). MSC: 80A20 76A10 26A33 35Q35 PDFBibTeX XMLCite \textit{A. Shakeel} et al., Adv. Difference Equ. 2016, Paper No. 51, 11 p. (2016; Zbl 1419.80011) Full Text: DOI
Aguilar, J. F. Gómez; Córdova-Fraga, T.; Tórres-Jiménez, J.; Escobar-Jiménez, R. F.; Olivares-Peregrino, V. H.; Guerrero-Ramírez, G. V. Nonlocal transport processes and the fractional Cattaneo-Vernotte equation. (English) Zbl 1400.35215 Math. Probl. Eng. 2016, Article ID 7845874, 15 p. (2016). MSC: 35R11 80A20 PDFBibTeX XMLCite \textit{J. F. G. Aguilar} et al., Math. Probl. Eng. 2016, Article ID 7845874, 15 p. (2016; Zbl 1400.35215) Full Text: DOI
Mentrelli, Andrea; Pagnini, Gianni Modelling and simulation of wildland fire in the framework of the level set method. (English) Zbl 1388.76434 Ric. Mat. 65, No. 2, 523-533 (2016). MSC: 76V05 76M20 35K57 60H25 80A25 PDFBibTeX XMLCite \textit{A. Mentrelli} and \textit{G. Pagnini}, Ric. Mat. 65, No. 2, 523--533 (2016; Zbl 1388.76434) Full Text: DOI Link
Žecová, Monika; Terpák, Ján Fractional heat conduction models and thermal diffusivity determination. (English) Zbl 1394.80010 Math. Probl. Eng. 2015, Article ID 753936, 9 p. (2015). MSC: 80A20 PDFBibTeX XMLCite \textit{M. Žecová} and \textit{J. Terpák}, Math. Probl. Eng. 2015, Article ID 753936, 9 p. (2015; Zbl 1394.80010) Full Text: DOI
Žecová, Monika; Terpák, Ján Heat conduction modeling by using fractional-order derivatives. (English) Zbl 1338.80012 Appl. Math. Comput. 257, 365-373 (2015). MSC: 80A20 35R11 PDFBibTeX XMLCite \textit{M. Žecová} and \textit{J. Terpák}, Appl. Math. Comput. 257, 365--373 (2015; Zbl 1338.80012) Full Text: DOI
Zingales, Massimiliano Fractional-order theory of heat transport in rigid bodies. (English) Zbl 1470.80007 Commun. Nonlinear Sci. Numer. Simul. 19, No. 11, 3938-3953 (2014). MSC: 80A19 74F05 PDFBibTeX XMLCite \textit{M. Zingales}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 11, 3938--3953 (2014; Zbl 1470.80007) Full Text: DOI Link
Li, Xicheng Analytical solutions to a fractional generalized two phase Lame-Clapeyron-Stefan problem. (English) Zbl 1356.80036 Int. J. Numer. Methods Heat Fluid Flow 24, No. 6, 1251-1259 (2014). MSC: 80A22 35R11 35Q79 PDFBibTeX XMLCite \textit{X. Li}, Int. J. Numer. Methods Heat Fluid Flow 24, No. 6, 1251--1259 (2014; Zbl 1356.80036) Full Text: DOI
Fabrizio, Mauro Fractional rheological models for thermomechanical systems. Dissipation and free energies. (English) Zbl 1312.35177 Fract. Calc. Appl. Anal. 17, No. 1, 206-223 (2014). MSC: 35R11 33E12 74A15 74D05 80A10 60G22 PDFBibTeX XMLCite \textit{M. Fabrizio}, Fract. Calc. Appl. Anal. 17, No. 1, 206--223 (2014; Zbl 1312.35177) Full Text: DOI
Kirk, Colleen; Olmstead, W. Thermal blow-up in a subdiffusive medium due to a nonlinear boundary flux. (English) Zbl 1312.35182 Fract. Calc. Appl. Anal. 17, No. 1, 191-205 (2014). MSC: 35R11 35B44 45D05 80A20 35K61 PDFBibTeX XMLCite \textit{C. Kirk} and \textit{W. Olmstead}, Fract. Calc. Appl. Anal. 17, No. 1, 191--205 (2014; Zbl 1312.35182) Full Text: DOI
Roscani, Sabrina; Marcus, Eduardo Santillan A new equivalence of Stefan’s problems for the time fractional diffusion equation. (English) Zbl 1305.80008 Fract. Calc. Appl. Anal. 17, No. 2, 371-381 (2014). MSC: 80A22 35R11 35R35 PDFBibTeX XMLCite \textit{S. Roscani} and \textit{E. S. Marcus}, Fract. Calc. Appl. Anal. 17, No. 2, 371--381 (2014; Zbl 1305.80008) Full Text: DOI arXiv Link
Roscani, Sabrina; Marcus, Eduardo Two equivalent Stefan’s problems for the time fractional diffusion equation. (English) Zbl 1312.35191 Fract. Calc. Appl. Anal. 16, No. 4, 802-815 (2013). MSC: 35R35 35R11 33E12 80A22 35R37 PDFBibTeX XMLCite \textit{S. Roscani} and \textit{E. Marcus}, Fract. Calc. Appl. Anal. 16, No. 4, 802--815 (2013; Zbl 1312.35191) Full Text: DOI arXiv Link
Povstenko, Yuriy Theories of thermal stresses based on space-time-fractional telegraph equations. (English) Zbl 1268.74018 Comput. Math. Appl. 64, No. 10, 3321-3328 (2012). MSC: 74F05 35R11 35Q79 74D05 35Q74 80A17 PDFBibTeX XMLCite \textit{Y. Povstenko}, Comput. Math. Appl. 64, No. 10, 3321--3328 (2012; Zbl 1268.74018) Full Text: DOI
Atanacković, Teodor; Konjik, Sanja; Oparnica, Ljubica; Zorica, Dušan The Cattaneo type space-time fractional heat conduction equation. (English) Zbl 1267.80006 Contin. Mech. Thermodyn. 24, No. 4-6, 293-311 (2012). Reviewer: Mersaid Aripov (Tashkent) MSC: 80A20 78A40 35L10 26A33 PDFBibTeX XMLCite \textit{T. Atanacković} et al., Contin. Mech. Thermodyn. 24, No. 4--6, 293--311 (2012; Zbl 1267.80006) Full Text: DOI
Vázquez, Luis; Trujillo, Juan J.; Velasco, M. Pilar Fractional heat equation and the second law of thermodynamics. (English) Zbl 1273.80002 Fract. Calc. Appl. Anal. 14, No. 3, 334-342 (2011). MSC: 80A10 35Q79 35R11 PDFBibTeX XMLCite \textit{L. Vázquez} et al., Fract. Calc. Appl. Anal. 14, No. 3, 334--342 (2011; Zbl 1273.80002) Full Text: DOI
Pagnini, Gianni Nonlinear time-fractional differential equations in combustion science. (English) Zbl 1273.34013 Fract. Calc. Appl. Anal. 14, No. 1, 80-93 (2011). MSC: 34A08 80A25 35R11 PDFBibTeX XMLCite \textit{G. Pagnini}, Fract. Calc. Appl. Anal. 14, No. 1, 80--93 (2011; Zbl 1273.34013) Full Text: DOI Link
Zheng, G. H.; Wei, T. A new regularization method for solving a time-fractional inverse diffusion problem. (English) Zbl 1211.35281 J. Math. Anal. Appl. 378, No. 2, 418-431 (2011). MSC: 35R30 35R11 80A23 65M32 26A33 35A22 65T50 PDFBibTeX XMLCite \textit{G. H. Zheng} and \textit{T. Wei}, J. Math. Anal. Appl. 378, No. 2, 418--431 (2011; Zbl 1211.35281) Full Text: DOI
Garg, Mridula; Rao, Alka Fractional extensions of some boundary value problems in oil strata. (English) Zbl 1210.35138 Proc. Indian Acad. Sci., Math. Sci. 117, No. 2, 267-281 (2007). MSC: 35K05 45A05 80A20 PDFBibTeX XMLCite \textit{M. Garg} and \textit{A. Rao}, Proc. Indian Acad. Sci., Math. Sci. 117, No. 2, 267--281 (2007; Zbl 1210.35138) Full Text: DOI arXiv