https://orcid.org/0000-0003-3133-7119
References
- L. Abadias and E. Alvarez, Uniform stability for fractional Cauchy problems and applications, Topological Methods in Nonlinear Analysis 52(2) (2018), 707–728. doi: 10.12775/TMNA.2018.038
- G. Acosta and J.P. Borthagaray, A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations, SIAM Journal of Numerical Analysis 55(2) (2017), 472–495. doi: 10.1137/15M1033952
- B. Ahmad, M.S. Alhothuali, H.H. Alsulami, M. Kirane, and S. Timoshin, On a time fractional reaction diffusion equation, Applied Mathematics and Computation 257 (2015), 199–204. doi: 10.1016/j.amc.2014.06.099
- A. Alsaedi, B. Ahmad, and M. Kirane, A survey of useful inequalities in fractional calculus, Fractional Calculus and Applied Analysis 20(3) (2017), 574–594. doi: 10.1515/fca-2017-0031
- E. Alvarez, C.G. Gal, V. Keyantuo, and M. Warma, Well-posedness results for a class of semi-linear super-diffusive equations, Nonlinear Analysis 181 (2019), 24–61. doi: 10.1016/j.na.2018.10.016
- L. Brasco and E. Parini, The second eigenvalue of the fractional p-Laplacian, Advances in Calculus of Variations 9(4) (2016), 323–355. doi: 10.1515/acv-2015-0007
- J. Cao, G. Song, J. Wang, Q. Shi, and S. Sun, Blow-up and global solutions for a class of time fractional nonlinear reaction-diffusion equation with weakly spatial source, Applied Mathematics Letters 91 (2019), 201–206. doi: 10.1016/j.aml.2018.12.020
- B. De Andrade, A.N. Carvalho, P.M. Carvalho-Neto, and P. Marín-Rubio, Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results, Topological Methods in Nonlinear Analysis 45 (2015), 439–469. doi: 10.12775/TMNA.2015.022
- C.G. Gal and M. Warma, Fractional-in-time semilinear parabolic equations and applications, HAL Id: hal-01578788, 2017. https://hal.archives-ouvertes.fr/hal-01578788
- D. Hnaien, F. Kellil, and R. Lassoued, Blowing-up solutions and global solutions to a fractional differential equation, Fractional Differential Calculus 4(1) (2014), 45–53.
- J. Jia and K. Li, Maximum principles for a time-space fractional diffusion equation, Applied Mathematics Letters 62 (2016), 23–28. doi: 10.1016/j.aml.2016.06.010
- J. Kemppainen, J. Siljander, and R. Zacher, Representation of solutions and large-time behavior for fully nonlocal diffusion equations, Journal of Differential Equations 263 (2017), 149–201. doi: 10.1016/j.jde.2017.02.030
- V. Keyantuo, C. Lizama, and M. Warma, Existence, regularity and representation of solutions of time fractional diffusion equations, Advanced Differential Equations 21(9–10) (2016), 837–886.
- A.A. Kilbas, H.M. Srivastava, and J.J. Trujillo, Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies, Vol. 204, Elsevier, Amsterdam, 2006.
- T. Simon, Comparing Frechet and positive stable laws, Electronic Journal of Probability 19 (2014), 1–25. doi: 10.1214/EJP.v19-3058
- V. Vergara and R. Zacher, Optimal decay estimates for time fractional and other non-local subdiffusion equations via energy methods, SIAM Journal of Mathematical Analysis 47(1) (2015), 210–239. doi: 10.1137/130941900
- V. Vergara and R. Zacher, Stability, instability, and blow-up for time fractional and other nonlocal in time semilinear subdiffusion equations, Journal of Evolution Equations 17(1) (2017), 599–626. doi: 10.1007/s00028-016-0370-2