Du, Qiang; Tian, Xiaochuan; Zhou, Zhi Nonlocal diffusion models with consistent local and fractional limits. (English) Zbl 07814301 Mengesha, Tadele (ed.) et al., A\(^3\) N\(^2\) M: approximation, applications, and analysis of nonlocal, nonlinear models. Proceedings of the 50th John H. Barrett memorial lectures, Knoxville, TN, USA, virtual, May 2021. Cham: Springer. IMA Vol. Math. Appl. 165, 175-213 (2023). MSC: 65N30 35R11 47G10 46E35 PDFBibTeX XMLCite \textit{Q. Du} et al., IMA Vol. Math. Appl. 165, 175--213 (2023; Zbl 07814301) Full Text: DOI arXiv
Cuesta, Carlota Maria; Diez-Izagirre, Xuban Large time behaviour of a conservation law regularised by a Riesz-Feller operator: the sub-critical case. (English) Zbl 07790561 Czech. Math. J. 73, No. 4, 1057-1080 (2023). MSC: 35B40 47J35 26A33 PDFBibTeX XMLCite \textit{C. M. Cuesta} and \textit{X. Diez-Izagirre}, Czech. Math. J. 73, No. 4, 1057--1080 (2023; Zbl 07790561) Full Text: DOI arXiv
Rawashdeh, Mahmoud S.; Obeidat, Nazek A.; Ababneh, Omar M. Using the decomposition method to solve the fractional order temperature distribution equation: a new approach. (English) Zbl 07784867 Math. Methods Appl. Sci. 46, No. 13, 14321-14339 (2023). MSC: 35C10 35R11 45J05 47F05 PDFBibTeX XMLCite \textit{M. S. Rawashdeh} et al., Math. Methods Appl. Sci. 46, No. 13, 14321--14339 (2023; Zbl 07784867) Full Text: DOI
Faustino, Nelson On fractional semidiscrete Dirac operators of Lévy-Leblond type. (English) Zbl 1523.30061 Math. Nachr. 296, No. 7, 2758-2779 (2023). MSC: 30G35 35R11 39A12 47D06 PDFBibTeX XMLCite \textit{N. Faustino}, Math. Nachr. 296, No. 7, 2758--2779 (2023; Zbl 1523.30061) Full Text: DOI arXiv OA License
Zhu, Shouguo Optimal controls for fractional backward nonlocal evolution systems. (English) Zbl 1519.49002 Numer. Funct. Anal. Optim. 44, No. 8, 794-814 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 49J15 49J27 34A08 26A33 34G10 35R11 47D06 PDFBibTeX XMLCite \textit{S. Zhu}, Numer. Funct. Anal. Optim. 44, No. 8, 794--814 (2023; Zbl 1519.49002) Full Text: DOI
Sin, Chung-Sik Gevrey type regularity of the Riesz-Feller operator perturbed by gradient in \(L^p(\mathbb{R})\). (English) Zbl 1518.47075 Complex Anal. Oper. Theory 17, No. 4, Paper No. 49, 18 p. (2023). MSC: 47D60 47A10 47G20 47G30 60J35 PDFBibTeX XMLCite \textit{C.-S. Sin}, Complex Anal. Oper. Theory 17, No. 4, Paper No. 49, 18 p. (2023; Zbl 1518.47075) Full Text: DOI
Sin, Chung-Sik Cauchy problem for fractional advection-diffusion-asymmetry equations. (English) Zbl 1512.35634 Result. Math. 78, No. 3, Paper No. 111, 30 p. (2023). MSC: 35R11 35A08 35B40 35K15 45K05 47D06 PDFBibTeX XMLCite \textit{C.-S. Sin}, Result. Math. 78, No. 3, Paper No. 111, 30 p. (2023; Zbl 1512.35634) Full Text: DOI
Aayadi, Khadija; Akhlil, Khalid; Ben Aadi, Sultana; Mahdioui, Hicham Weak solutions to the time-fractional \(g\)-Bénard equations. (English) Zbl 1513.76064 Bound. Value Probl. 2022, Paper No. 70, 17 p. (2022). MSC: 76D05 47F05 35Q30 35R11 26A33 76D03 PDFBibTeX XMLCite \textit{K. Aayadi} et al., Bound. Value Probl. 2022, Paper No. 70, 17 p. (2022; Zbl 1513.76064) Full Text: DOI arXiv
Ho, Kwok-Pun Integral operators on Cesàro function spaces. (English) Zbl 07584452 Bull. Korean Math. Soc. 59, No. 4, 905-915 (2022). MSC: 47G10 44A15 46E30 PDFBibTeX XMLCite \textit{K.-P. Ho}, Bull. Korean Math. Soc. 59, No. 4, 905--915 (2022; Zbl 07584452) Full Text: DOI
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
Feng, Xiaoli; Zhao, Meixia; Qian, Zhi A Tikhonov regularization method for solving a backward time-space fractional diffusion problem. (English) Zbl 1490.35535 J. Comput. Appl. Math. 411, Article ID 114236, 20 p. (2022). MSC: 35R25 35R30 47A52 65M06 PDFBibTeX XMLCite \textit{X. Feng} et al., J. Comput. Appl. Math. 411, Article ID 114236, 20 p. (2022; Zbl 1490.35535) Full Text: DOI
Hai, Dinh Nguyen Duy Hölder-logarithmic type approximation for nonlinear backward parabolic equations connected with a pseudo-differential operator. (English) Zbl 1487.35224 Commun. Pure Appl. Anal. 21, No. 5, 1715-1734 (2022). MSC: 35K58 35S16 35R25 47J06 60H50 PDFBibTeX XMLCite \textit{D. N. D. Hai}, Commun. Pure Appl. Anal. 21, No. 5, 1715--1734 (2022; Zbl 1487.35224) Full Text: DOI
Bouzeffour, F.; Garayev, M. On the fractional Bessel operator. (English) Zbl 07493955 Integral Transforms Spec. Funct. 33, No. 3, 230-246 (2022). MSC: 47-XX 35K57 33C10 PDFBibTeX XMLCite \textit{F. Bouzeffour} and \textit{M. Garayev}, Integral Transforms Spec. Funct. 33, No. 3, 230--246 (2022; Zbl 07493955) Full Text: DOI
Arioua, Yacine; Titraoui, Maria Boundary value problem for a coupled system of nonlinear fractional differential equations involving Erdélyi-Kober derivative. (English) Zbl 1498.34017 Appl. Math. E-Notes 21, 291-306 (2021). MSC: 34A08 34A37 47H10 PDFBibTeX XMLCite \textit{Y. Arioua} and \textit{M. Titraoui}, Appl. Math. E-Notes 21, 291--306 (2021; Zbl 1498.34017) Full Text: Link
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
Baleanu, Dumitru; Restrepo, Joel E.; Suragan, Durvudkhan A class of time-fractional Dirac type operators. (English) Zbl 1505.47050 Chaos Solitons Fractals 143, Article ID 110590, 15 p. (2021). MSC: 47G20 35R11 35R30 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Chaos Solitons Fractals 143, Article ID 110590, 15 p. (2021; Zbl 1505.47050) Full Text: DOI
Nguyen, Huy Tuan; Nguyen, Huu Can; Wang, Renhai; Zhou, Yong Initial value problem for fractional Volterra integro-differential equations with Caputo derivative. (English) Zbl 1478.35226 Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6483-6510 (2021). MSC: 35R11 35B44 35K20 35K58 35K70 35K92 35R09 47A52 47J06 PDFBibTeX XMLCite \textit{H. T. Nguyen} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6483--6510 (2021; Zbl 1478.35226) Full Text: DOI
Yang, Fan; Fu, Jun-Liang; Fan, Ping; Li, Xiao-Xiao Fractional Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion problem. (English) Zbl 1476.35339 Acta Appl. Math. 175, Paper No. 13, 19 p. (2021). MSC: 35R30 35R11 35R25 47A52 PDFBibTeX XMLCite \textit{F. Yang} et al., Acta Appl. Math. 175, Paper No. 13, 19 p. (2021; Zbl 1476.35339) Full Text: DOI
Li, Nan-Ding; Liu, Ru; Li, Miao Resolvent positive operators and positive fractional resolvent families. (English) Zbl 1492.47041 J. Funct. Spaces 2021, Article ID 6418846, 13 p. (2021). Reviewer: Marko Kostić (Novi Sad) MSC: 47B65 46B40 PDFBibTeX XMLCite \textit{N.-D. Li} et al., J. Funct. Spaces 2021, Article ID 6418846, 13 p. (2021; Zbl 1492.47041) Full Text: DOI
Li, Qiang; Wang, Guotao; Wei, Mei Monotone iterative technique for time-space fractional diffusion equations involving delay. (English) Zbl 1466.35361 Nonlinear Anal., Model. Control 26, No. 2, 241-258 (2021). MSC: 35R11 35K20 26A33 47D06 PDFBibTeX XMLCite \textit{Q. Li} et al., Nonlinear Anal., Model. Control 26, No. 2, 241--258 (2021; Zbl 1466.35361) Full Text: DOI
Kumar, Ashish; Pandey, Dwijendra N. Controllability results for non densely defined impulsive fractional differential equations in abstract space. (English) Zbl 1466.34069 Differ. Equ. Dyn. Syst. 29, No. 1, 227-237 (2021). MSC: 34K37 34K30 34K35 34K45 93B05 47D06 47N20 PDFBibTeX XMLCite \textit{A. Kumar} and \textit{D. N. Pandey}, Differ. Equ. Dyn. Syst. 29, No. 1, 227--237 (2021; Zbl 1466.34069) Full Text: DOI
Dong, Jianping; Lu, Ying Infinite wall in the fractional quantum mechanics. (English) Zbl 1461.81030 J. Math. Phys. 62, No. 3, Article ID 032104, 13 p. (2021). MSC: 81Q05 35R11 47B06 81S40 46F10 12F20 35P05 PDFBibTeX XMLCite \textit{J. Dong} and \textit{Y. Lu}, J. Math. Phys. 62, No. 3, Article ID 032104, 13 p. (2021; Zbl 1461.81030) Full Text: DOI
Alyami, Maryam Ahmed; Darwish, Mohamed Abdalla On asymptotic stable solutions of a quadratic Erdélyi-Kober fractional functional integral equation with linear modification of the arguments. (English) Zbl 1495.45007 Chaos Solitons Fractals 131, Article ID 109475, 7 p. (2020). MSC: 45M05 45G10 26A33 47H08 47N20 PDFBibTeX XMLCite \textit{M. A. Alyami} and \textit{M. A. Darwish}, Chaos Solitons Fractals 131, Article ID 109475, 7 p. (2020; Zbl 1495.45007) Full Text: DOI
Toranj-Simin, M.; Hadizadeh, M. Spectral collocation method for a class of integro-differential equations with Erdélyi-Kober fractional operator. (English) Zbl 1499.65356 Adv. Appl. Math. Mech. 12, No. 2, 386-406 (2020). MSC: 65L60 34K37 45J05 47G20 65R20 PDFBibTeX XMLCite \textit{M. Toranj-Simin} and \textit{M. Hadizadeh}, Adv. Appl. Math. Mech. 12, No. 2, 386--406 (2020; Zbl 1499.65356) Full Text: DOI
Duraisamy, Palanisamy; Gopal, Thangaraj Nandha; Subramanian, Muthaiah Analysis of fractional integro-differential equations with nonlocal Erdélyi-Kober type integral boundary conditions. (English) Zbl 1488.45028 Fract. Calc. Appl. Anal. 23, No. 5, 1401-1415 (2020). MSC: 45J05 47N20 26A33 PDFBibTeX XMLCite \textit{P. Duraisamy} et al., Fract. Calc. Appl. Anal. 23, No. 5, 1401--1415 (2020; Zbl 1488.45028) Full Text: DOI
Al-Kandari, M.; Hanna, L. A-M.; Luchko, Yu. F. Transmutations of the composed Erdélyi-Kober fractional operators and their applications. (English) Zbl 1494.44004 Kravchenko, Vladislav V. (ed.) et al., Transmutation operators and applications. Cham: Birkhäuser. Trends Math., 479-508 (2020). MSC: 44A15 44A35 47G20 26A33 44-02 PDFBibTeX XMLCite \textit{M. Al-Kandari} et al., in: Transmutation operators and applications. Cham: Birkhäuser. 479--508 (2020; Zbl 1494.44004) Full Text: DOI
Abdel-Rehim, E. A. From the space-time fractional integral of the continuous time random walk to the space-time fractional diffusion equations, a short proof and simulation. (English) Zbl 07569409 Physica A 531, Article ID 121547, 10 p. (2019). MSC: 82-XX 26A33 35L05 60J60 45K05 47G30 33E20 65N06 60G52 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim}, Physica A 531, Article ID 121547, 10 p. (2019; Zbl 07569409) Full Text: DOI
Arioua, Yacine; Titraoui, Maria New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative. (English) Zbl 1464.34016 Commun. Math. 27, No. 2, 113-141 (2019). MSC: 34A08 34A37 47H10 PDFBibTeX XMLCite \textit{Y. Arioua} and \textit{M. Titraoui}, Commun. Math. 27, No. 2, 113--141 (2019; Zbl 1464.34016) Full Text: DOI
Trong, Dang Duc; Hai, Dinh Nguyen Duy; Minh, Nguyen Dang Stepwise regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem. (English) Zbl 1431.65157 J. Inverse Ill-Posed Probl. 27, No. 6, 759-775 (2019). MSC: 65M32 35R30 47A52 35R11 65M30 PDFBibTeX XMLCite \textit{D. D. Trong} et al., J. Inverse Ill-Posed Probl. 27, No. 6, 759--775 (2019; Zbl 1431.65157) Full Text: DOI
Trong, Dang Duc; Hai, Dinh Nguyen Duy; Nguyen, Dang Minh Optimal regularization for an unknown source of space-fractional diffusion equation. (English) Zbl 1429.65221 Appl. Math. Comput. 349, 184-206 (2019). MSC: 65M32 35R11 47A52 PDFBibTeX XMLCite \textit{D. D. Trong} et al., Appl. Math. Comput. 349, 184--206 (2019; Zbl 1429.65221) 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
Sandev, Trifce; Tomovski, Zivorad; Dubbeldam, Johan L. A.; Chechkin, Aleksei Generalized diffusion-wave equation with memory kernel. (English) Zbl 1422.35118 J. Phys. A, Math. Theor. 52, No. 1, Article ID 015201, 22 p. (2019). MSC: 35K57 35L05 35R11 35A08 60J60 47G20 33E12 PDFBibTeX XMLCite \textit{T. Sandev} et al., J. Phys. A, Math. Theor. 52, No. 1, Article ID 015201, 22 p. (2019; Zbl 1422.35118) Full Text: DOI arXiv
Dipierro, Serena; Valdinoci, Enrico; Vespri, Vincenzo Decay estimates for evolutionary equations with fractional time-diffusion. (English) Zbl 1461.35049 J. Evol. Equ. 19, No. 2, 435-462 (2019). MSC: 35B40 35R11 26A33 35K90 47J35 58D25 PDFBibTeX XMLCite \textit{S. Dipierro} et al., J. Evol. Equ. 19, No. 2, 435--462 (2019; Zbl 1461.35049) Full Text: DOI arXiv Link
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi Lattice dynamical systems associated with a fractional Laplacian. (English) Zbl 1417.49031 Numer. Funct. Anal. Optim. 40, No. 11, 1315-1343 (2019). MSC: 49K40 34K31 47D07 26A33 PDFBibTeX XMLCite \textit{V. Keyantuo} et al., Numer. Funct. Anal. Optim. 40, No. 11, 1315--1343 (2019; Zbl 1417.49031) Full Text: DOI
Bazhlekova, Emilia Subordination principle for space-time fractional evolution equations and some applications. (English) Zbl 1411.35269 Integral Transforms Spec. Funct. 30, No. 6, 431-452 (2019). MSC: 35R11 33E12 47D06 PDFBibTeX XMLCite \textit{E. Bazhlekova}, Integral Transforms Spec. Funct. 30, No. 6, 431--452 (2019; Zbl 1411.35269) Full Text: DOI arXiv
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
Rapaić, Milan R.; Šekara, Tomislav B.; Bošković, Marko Č. Frequency-distributed representation of irrational linear systems. (English) Zbl 1425.93195 Fract. Calc. Appl. Anal. 21, No. 5, 1396-1419 (2018). MSC: 93C80 93B10 93C20 93C05 93B28 47G30 PDFBibTeX XMLCite \textit{M. R. Rapaić} et al., Fract. Calc. Appl. Anal. 21, No. 5, 1396--1419 (2018; Zbl 1425.93195) Full Text: DOI
Butko, Yana A. Chernoff approximation for semigroups generated by killed Feller processes and Feynman formulae for time-fractional Fokker-Planck-Kolmogorov equations. (English) Zbl 1422.35162 Fract. Calc. Appl. Anal. 21, No. 5, 1203-1237 (2018). MSC: 35R11 35Q84 47D06 47D07 35K20 60J75 PDFBibTeX XMLCite \textit{Y. A. Butko}, Fract. Calc. Appl. Anal. 21, No. 5, 1203--1237 (2018; Zbl 1422.35162) Full Text: DOI arXiv
Abadias, Luciano; Álvarez, Edgardo Uniform stability for fractional Cauchy problems and applications. (English) Zbl 1414.34003 Topol. Methods Nonlinear Anal. 52, No. 2, 707-728 (2018). MSC: 34A08 43A60 47D06 34G20 PDFBibTeX XMLCite \textit{L. Abadias} and \textit{E. Álvarez}, Topol. Methods Nonlinear Anal. 52, No. 2, 707--728 (2018; Zbl 1414.34003) Full Text: DOI Euclid
Lizzy, Rajendran Mabel; Balachandran, Krishnan Boundary controllability of nonlinear stochastic fractional systems in Hilbert spaces. (English) Zbl 1396.93023 Int. J. Appl. Math. Comput. Sci. 28, No. 1, 123-133 (2018). MSC: 93B05 93E03 93C25 93C10 93B28 47N70 PDFBibTeX XMLCite \textit{R. M. Lizzy} and \textit{K. Balachandran}, Int. J. Appl. Math. Comput. Sci. 28, No. 1, 123--133 (2018; Zbl 1396.93023) Full Text: DOI
Achleitner, Franz; Ueda, Yoshihiro Asymptotic stability of traveling wave solutions for nonlocal viscous conservation laws with explicit decay rates. (English) Zbl 06932128 J. Evol. Equ. 18, No. 2, 923-946 (2018). MSC: 47J35 26A33 35C07 PDFBibTeX XMLCite \textit{F. Achleitner} and \textit{Y. Ueda}, J. Evol. Equ. 18, No. 2, 923--946 (2018; Zbl 06932128) Full Text: DOI arXiv
Dinh Nguyen Duy Hai; Dang Duc Trong The backward problem for a nonlinear Riesz-Feller diffusion equation. (English) Zbl 1395.65058 Acta Math. Vietnam. 43, No. 3, 449-470 (2018). MSC: 65M32 26A33 47A52 47J06 65J20 35R11 PDFBibTeX XMLCite \textit{Dinh Nguyen Duy Hai} and \textit{Dang Duc Trong}, Acta Math. Vietnam. 43, No. 3, 449--470 (2018; Zbl 1395.65058) Full Text: DOI
Tuan, Nguyen Huy; Ngoc, Tran Bao; Tatar, Salih; Long, Le Dinh Recovery of the solute concentration and dispersion flux in an inhomogeneous time fractional diffusion equation. (English) Zbl 1391.35175 J. Comput. Appl. Math. 342, 96-118 (2018). MSC: 35K05 35K99 47J06 47H10 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., J. Comput. Appl. Math. 342, 96--118 (2018; Zbl 1391.35175) Full Text: DOI
Qiu, Meilan; Mei, Liquan; Yang, Ganshang Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations. (English) Zbl 1422.35169 Adv. Difference Equ. 2017, Paper No. 1, 21 p. (2017). MSC: 35R11 35K57 47H10 PDFBibTeX XMLCite \textit{M. Qiu} et al., Adv. Difference Equ. 2017, Paper No. 1, 21 p. (2017; Zbl 1422.35169) Full Text: DOI
Taghavi, A.; Babaei, A.; Mohammadpour, A. A stable numerical scheme for a time fractional inverse parabolic equation. (English) Zbl 1398.65239 Inverse Probl. Sci. Eng. 25, No. 10, 1474-1491 (2017). MSC: 65M32 35R11 26A33 47A52 PDFBibTeX XMLCite \textit{A. Taghavi} et al., Inverse Probl. Sci. Eng. 25, No. 10, 1474--1491 (2017; Zbl 1398.65239) Full Text: DOI
Yang, Fan; Ren, Yu-Peng; Li, Xiao-Xiao; Li, Dun-Gang Landweber iterative method for identifying a space-dependent source for the time-fractional diffusion equation. (English) Zbl 1386.35470 Bound. Value Probl. 2017, Paper No. 163, 19 p. (2017). MSC: 35R25 47A52 35R30 PDFBibTeX XMLCite \textit{F. Yang} et al., Bound. Value Probl. 2017, Paper No. 163, 19 p. (2017; Zbl 1386.35470) Full Text: DOI
Hai Dinh Nguyen Duy; Tuan Nguyen Huy; Long Le Dinh; Gia Quoc Thong Le Inverse problem for nonlinear backward space-fractional diffusion equation. (English) Zbl 1370.35153 J. Inverse Ill-Posed Probl. 25, No. 4, 423-443 (2017). MSC: 35K05 35R11 47J06 47H10 PDFBibTeX XMLCite \textit{Hai Dinh Nguyen Duy} et al., J. Inverse Ill-Posed Probl. 25, No. 4, 423--443 (2017; Zbl 1370.35153) Full Text: DOI
Yang, Fan; Li, Xiao-Xiao; Li, Dun-Gang; Wang, Lan The simplified Tikhonov regularization method for solving a Riesz-Feller space-fractional backward diffusion problem. (English) Zbl 1516.35544 Math. Comput. Sci. 11, No. 1, 91-110 (2017). MSC: 35R30 35R11 47A52 65M30 65M32 PDFBibTeX XMLCite \textit{F. Yang} et al., Math. Comput. Sci. 11, No. 1, 91--110 (2017; Zbl 1516.35544) Full Text: DOI
Tuan, Nguyen Huy; Trong, Dang Duc; Hai, Dinh Nguyen Duy; Thanh, Duong Dang Xuan A Riesz-Feller space-fractional backward diffusion problem with a time-dependent coefficient: regularization and error estimates. (English) Zbl 1372.35347 Math. Methods Appl. Sci. 40, No. 11, 4040-4064 (2017). MSC: 35R11 35K05 35R25 47A52 62G08 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Math. Methods Appl. Sci. 40, No. 11, 4040--4064 (2017; Zbl 1372.35347) Full Text: DOI
Kemppainen, Jukka; Siljander, Juhana; Zacher, Rico Representation of solutions and large-time behavior for fully nonlocal diffusion equations. (English) Zbl 1366.35218 J. Differ. Equations 263, No. 1, 149-201 (2017). Reviewer: Trifce Sandev (Skopje) MSC: 35R11 45K05 35C15 47G20 PDFBibTeX XMLCite \textit{J. Kemppainen} et al., J. Differ. Equations 263, No. 1, 149--201 (2017; Zbl 1366.35218) Full Text: DOI arXiv Link
Darwish, Mohamed Abdalla On Erdélyi-Kober fractional Urysohn-Volterra quadratic integral equations. (English) Zbl 1410.45007 Appl. Math. Comput. 273, 562-569 (2016). MSC: 45G10 45M05 47H09 PDFBibTeX XMLCite \textit{M. A. Darwish}, Appl. Math. Comput. 273, 562--569 (2016; Zbl 1410.45007) Full Text: DOI
Chidouh, Amar; Guezane-Lakoud, Assia; Bebbouchi, Rachid Positive solutions of the fractional relaxation equation using lower and upper solutions. (English) Zbl 1358.34009 Vietnam J. Math. 44, No. 4, 739-748 (2016). MSC: 34A08 34A12 33E12 47N20 PDFBibTeX XMLCite \textit{A. Chidouh} et al., Vietnam J. Math. 44, No. 4, 739--748 (2016; Zbl 1358.34009) Full Text: DOI
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
Liu, Songshu; Feng, Lixin A modified kernel method for a time-fractional inverse diffusion problem. (English) Zbl 1422.35184 Adv. Difference Equ. 2015, Paper No. 342, 11 p. (2015). MSC: 35R25 35R30 35R11 47A52 PDFBibTeX XMLCite \textit{S. Liu} and \textit{L. Feng}, Adv. Difference Equ. 2015, Paper No. 342, 11 p. (2015; Zbl 1422.35184) Full Text: DOI
Alsaedi, Ahmed; Ntouyas, Sotiris K.; Ahmad, Bashir; Hobiny, Aatef Nonlinear Hadamard fractional differential equations with Hadamard type nonlocal non-conserved conditions. (English) Zbl 1351.34003 Adv. Difference Equ. 2015, Paper No. 285, 13 p. (2015). MSC: 34A08 34B10 47N20 PDFBibTeX XMLCite \textit{A. Alsaedi} et al., Adv. Difference Equ. 2015, Paper No. 285, 13 p. (2015; Zbl 1351.34003) Full Text: DOI
Abadias, Luciano; Miana, Pedro J. A subordination principle on Wright functions and regularized resolvent families. (English) Zbl 1354.47028 J. Funct. Spaces 2015, Article ID 158145, 9 p. (2015). Reviewer: René L. Schilling (Dresden) MSC: 47D06 34A08 33E99 44A35 PDFBibTeX XMLCite \textit{L. Abadias} and \textit{P. J. Miana}, J. Funct. Spaces 2015, Article ID 158145, 9 p. (2015; Zbl 1354.47028) Full Text: DOI arXiv
Bazhlekova, Emilia Completely monotone functions and some classes of fractional evolution equations. (English) Zbl 1332.26011 Integral Transforms Spec. Funct. 26, No. 9, 737-752 (2015). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26A33 33E12 35R11 47D06 PDFBibTeX XMLCite \textit{E. Bazhlekova}, Integral Transforms Spec. Funct. 26, No. 9, 737--752 (2015; Zbl 1332.26011) Full Text: DOI arXiv
Toaldo, Bruno Lévy mixing related to distributed order calculus, subordinators and slow diffusions. (English) Zbl 1319.60100 J. Math. Anal. Appl. 430, No. 2, 1009-1036 (2015). MSC: 60G51 60J60 60J65 26A33 47G20 PDFBibTeX XMLCite \textit{B. Toaldo}, J. Math. Anal. Appl. 430, No. 2, 1009--1036 (2015; Zbl 1319.60100) Full Text: DOI arXiv
Jawahdou, Adel Initial value problem of fractional integro-differential equations in Banach space. (English) Zbl 1317.34161 Fract. Calc. Appl. Anal. 18, No. 1, 20-37 (2015). MSC: 34K30 34K37 47N20 35R10 PDFBibTeX XMLCite \textit{A. Jawahdou}, Fract. Calc. Appl. Anal. 18, No. 1, 20--37 (2015; Zbl 1317.34161) Full Text: DOI
Li, Xiao-Xiao; Lei, Jin Li; Yang, Fan An a posteriori Fourier regularization method for identifying the unknown source of the space-fractional diffusion equation. (English) Zbl 1516.35526 J. Inequal. Appl. 2014, Paper No. 434, 13 p. (2014). MSC: 35R30 35R11 47A52 65M30 65M32 PDFBibTeX XMLCite \textit{X.-X. Li} et al., J. Inequal. Appl. 2014, Paper No. 434, 13 p. (2014; Zbl 1516.35526) Full Text: DOI
Kumar, Pradeep; Pandey, Dwijendra N.; Bahuguna, D. Approximations of solutions to a fractional differential equation with a deviating argument. (English) Zbl 1314.34152 Differ. Equ. Dyn. Syst. 22, No. 4, 333-352 (2014). MSC: 34K30 35K90 47H06 34K37 34K07 PDFBibTeX XMLCite \textit{P. Kumar} et al., Differ. Equ. Dyn. Syst. 22, No. 4, 333--352 (2014; Zbl 1314.34152) Full Text: DOI
Cao, Junfei; Huang, Zaitang; Zeng, Caibin Weighted pseudo almost automorphic classical solutions and optimal mild solutions for fractional differential equations and application in fractional reaction-diffusion equations. (English) Zbl 1307.34006 J. Math. Chem. 52, No. 7, 1984-2012 (2014). Reviewer: Krishnan Balachandran (Coimbatore) MSC: 34A08 34G20 34C27 43A60 47N20 PDFBibTeX XMLCite \textit{J. Cao} et al., J. Math. Chem. 52, No. 7, 1984--2012 (2014; Zbl 1307.34006) Full Text: DOI
Kumar, Pradeep; Pandey, D. N.; Bahuguna, D. Approximations of solutions to a retarded type fractional differential equation with a deviated argument. (English) Zbl 1300.34178 J. Integral Equations Appl. 26, No. 2, 215-242 (2014). MSC: 34K37 34G10 34K30 47N20 45G99 PDFBibTeX XMLCite \textit{P. Kumar} et al., J. Integral Equations Appl. 26, No. 2, 215--242 (2014; Zbl 1300.34178) Full Text: DOI Euclid
Mijena, Jebessa B.; Nane, Erkan Strong analytic solutions of fractional Cauchy problems. (English) Zbl 1284.35457 Proc. Am. Math. Soc. 142, No. 5, 1717-1731 (2014). MSC: 35R11 35C15 35S05 47G30 60K99 PDFBibTeX XMLCite \textit{J. B. Mijena} and \textit{E. Nane}, Proc. Am. Math. Soc. 142, No. 5, 1717--1731 (2014; Zbl 1284.35457) Full Text: DOI arXiv
Jia, Junxiong; Peng, Jigen; Li, Kexue Well-posedness of abstract distributed-order fractional diffusion equations. (English) Zbl 1280.26013 Commun. Pure Appl. Anal. 13, No. 2, 605-621 (2014). MSC: 26A33 47D06 PDFBibTeX XMLCite \textit{J. Jia} et al., Commun. Pure Appl. Anal. 13, No. 2, 605--621 (2014; Zbl 1280.26013) Full Text: DOI
Nyamoradi, Nemat The Nehari manifold and its application to a fractional boundary value problem. (English) Zbl 1301.34010 Differ. Equ. Dyn. Syst. 21, No. 4, 323-340 (2013). MSC: 34A08 34B18 47J30 34B09 58E50 PDFBibTeX XMLCite \textit{N. Nyamoradi}, Differ. Equ. Dyn. Syst. 21, No. 4, 323--340 (2013; Zbl 1301.34010) Full Text: DOI
Nyamoradi, N. Positive solutions for multi-point boundary value problems for nonlinear fractional differential equations. (English) Zbl 1287.34005 J. Contemp. Math. Anal., Armen. Acad. Sci. 48, No. 4, 145-157 (2013) and Izv. Nats. Akad. Nauk Armen., Mat. 48, No. 4, 63-80 (2013). MSC: 34A08 34B18 34B10 47N20 47H10 PDFBibTeX XMLCite \textit{N. Nyamoradi}, J. Contemp. Math. Anal., Armen. Acad. Sci. 48, No. 4, 145--157 (2013; Zbl 1287.34005) Full Text: DOI
Li, Fang; Wang, Huiwen The existence results for abstract fractional differential equations with nonlocal conditions. (English) Zbl 1281.34011 Afr. Diaspora J. Math. 15, No. 2, 26-34 (2013). MSC: 34A08 34G20 47N20 34B10 PDFBibTeX XMLCite \textit{F. Li} and \textit{H. Wang}, Afr. Diaspora J. Math. 15, No. 2, 26--34 (2013; Zbl 1281.34011) Full Text: Euclid
Zhang, Zufeng; Liu, Bin Existence results of nondensely defined fractional evolution differential inclusions. (English) Zbl 1318.47106 J. Appl. Math. 2012, Article ID 316850, 19 p. (2012). MSC: 47N20 34A08 34A60 47D62 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{B. Liu}, J. Appl. Math. 2012, Article ID 316850, 19 p. (2012; Zbl 1318.47106) Full Text: DOI
Li, Fang; N’guérékata, Gaston M. An existence result for neutral delay integrodifferential equations with fractional order and nonlocal conditions. (English) Zbl 1269.45006 Abstr. Appl. Anal. 2011, Article ID 952782, 20 p. (2011). MSC: 45J05 45G10 47H08 47H09 PDFBibTeX XMLCite \textit{F. Li} and \textit{G. M. N'guérékata}, Abstr. Appl. Anal. 2011, Article ID 952782, 20 p. (2011; Zbl 1269.45006) Full Text: DOI
Saxena, R. K.; Kalla, S. L.; Saxena, Ravi Multivariate analogue of generalized Mittag-Leffler function. (English) Zbl 1275.33030 Integral Transforms Spec. Funct. 22, No. 7, 533-548 (2011). MSC: 33E12 33C15 26A33 47B38 47G10 PDFBibTeX XMLCite \textit{R. K. Saxena} et al., Integral Transforms Spec. Funct. 22, No. 7, 533--548 (2011; Zbl 1275.33030) Full Text: DOI
Herzallah, Mohamed A. E.; El-Sayed, Ahmed M. A.; Baleanu, Dumitru Perturbation for fractional-order evolution equation. (English) Zbl 1209.34003 Nonlinear Dyn. 62, No. 3, 593-600 (2010). MSC: 34A08 45J05 47N20 PDFBibTeX XMLCite \textit{M. A. E. Herzallah} et al., Nonlinear Dyn. 62, No. 3, 593--600 (2010; Zbl 1209.34003) Full Text: DOI
Atanackovic, Teodor M.; Oparnica, Ljubica; Pilipović, Stevan Semilinear ordinary differential equation coupled with distributed order fractional differential equation. (English) Zbl 1194.26006 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 11, 4101-4114 (2010). Reviewer: Juan J. Trujillo (La Laguna) MSC: 26A33 34G20 47H10 PDFBibTeX XMLCite \textit{T. M. Atanackovic} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 11, 4101--4114 (2010; Zbl 1194.26006) Full Text: DOI arXiv
Dong, Jianping; Xu, Mingyu Space-time fractional Schrödinger equation with time-independent potentials. (English) Zbl 1140.81357 J. Math. Anal. Appl. 344, No. 2, 1005-1017 (2008). MSC: 81Q05 26A33 47B06 PDFBibTeX XMLCite \textit{J. Dong} and \textit{M. Xu}, J. Math. Anal. Appl. 344, No. 2, 1005--1017 (2008; Zbl 1140.81357) Full Text: DOI
Mainardi, Francesco; Gorenflo, Rudolf; Vivoli, Alessandro Beyond the Poisson renewal process: a tutorial survey. (English) Zbl 1115.60082 J. Comput. Appl. Math. 205, No. 2, 725-735 (2007). MSC: 60K05 60K25 26A33 33E12 45K05 47G30 60G50 60G51 60G55 PDFBibTeX XMLCite \textit{F. Mainardi} et al., J. Comput. Appl. Math. 205, No. 2, 725--735 (2007; Zbl 1115.60082) Full Text: DOI