[1] V. Barbu, Partial Differential Equations and Boundry Value Problems. Science + Business media, B. V. Springer. Vol.
441.
[2] A.A. Kilbas, H.M. Sarisvatana, J.J. Trujillo, Theory and applications of fractional Differential Equations, North-Holland
mathematics studies. 204, ELSEVIER 2006.
[3] H. Fujita, On the Blowing up of solutions of the problem for ut = ∆u+u1+α, Faculty of science, University of Tokyo. 13
(1966) 109-124.
[4] T. Cazenave, F. Dickstein, F. D. Weissler, An equation whose Fujita critical exponent is not given by scaling, Nonlinear
anal. 68 (2008) 862-874.
[5] A. Fino, Critical exponent for damped wave equations with nonlinear memory, Hal Arch. Ouv. Id: 00473941v2 (2010).
[6] M. Berbiche, A. Hakem, Finite time blow-up of solutions for damped wave Equation with non linear Memory, Comm.
Math. Analysis. (14)(1)(2013) 72-84.
[8] I. Podlubny, Fractional Differetial Equations, Mathematics in science and engineering. Vol 198, University of Kosice,Slovak
republic.
[9] G. Todorova, B. Yardanov, Critical exponent for a non linear wave equation with damping, Journal of Differential equations.
174 (2001) 464-489.
[10] Qi S. Zhang, A Blow up result for a nonlinear wave equation with damping, C.R. Acad. Sciences, Paris. (2001).
[11] S. Katayama, Md A. Sheikh, S. Tarama, The Cauchy and mixed problems for semilinear wave equations with damping
terms, Math. Japonica. 50 (3) (2000) 459-566.
[12] S. I. Pohozaev, A. Tesei, Blow-up of nonnegative solutions to quasilinear parabolic inequalities, Atti Accad. Naz. Lincei
Cl. Sci. Fis. Math. Natur. Rend. Lincei. 9 Math. App. 11 N◦2 (2000) 99-109.
[13] E. Mitidieri, S.I. Pohozaev, Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on RN,J. Evol. Equations. (1) (2001) 189-220.
[14] E. Mitidieri, S.I. Pohozaev, A priori estimates and blow-up of solutions to nonlinear partial differential equations and
inequalities, Proc. Steklov. Inst. Math. 234 (2001) 1-383.
[15] S.G. Samko, A.A. Kilbas, O. I. Marichev, Fractional Integrals and derivatives, Theory and application, Gordon andBreach
Publishers. (1987).
[16] J.L. Lions, W.A. Strauss, Some nonlinear evolution equations, Bull. Soc. Math. France. 93(1965) 43-96.
[17] Yuta Wakasugi, On the diffusive structure for the damped wave equation with variable coefficients, doctoral thesis, Graduate
school of science, Osaka University. (2014).
[18] P. Souplet, Monotonicity of solutions and blow-up for semilinear parabolic equations with nonlinear memory, Z. angew.
Math. Phys. 55(2004) 28-31.
[19] M.E. Taylor, Partial differential equations III in nonlinear equations, Springer, New York. (1966)
[1] V. Barbu, Partial Differential Equations and Boundry Value Problems. Science + Business media, B. V. Springer. Vol.
441.
[2] A.A. Kilbas, H.M. Sarisvatana, J.J. Trujillo, Theory and applications of fractional Differential Equations, North-Holland
mathematics studies. 204, ELSEVIER 2006.
[3] H. Fujita, On the Blowing up of solutions of the problem for ut = ∆u+u1+α, Faculty of science, University of Tokyo. 13
(1966) 109-124.
[4] T. Cazenave, F. Dickstein, F. D. Weissler, An equation whose Fujita critical exponent is not given by scaling, Nonlinear
anal. 68 (2008) 862-874.
[5] A. Fino, Critical exponent for damped wave equations with nonlinear memory, Hal Arch. Ouv. Id: 00473941v2 (2010).
[6] M. Berbiche, A. Hakem, Finite time blow-up of solutions for damped wave Equation with non linear Memory, Comm.
Math. Analysis. (14)(1)(2013) 72-84.
[8] I. Podlubny, Fractional Differetial Equations, Mathematics in science and engineering. Vol 198, University of Kosice,Slovak
republic.
[9] G. Todorova, B. Yardanov, Critical exponent for a non linear wave equation with damping, Journal of Differential equations.
174 (2001) 464-489.
[10] Qi S. Zhang, A Blow up result for a nonlinear wave equation with damping, C.R. Acad. Sciences, Paris. (2001).
[11] S. Katayama, Md A. Sheikh, S. Tarama, The Cauchy and mixed problems for semilinear wave equations with damping
terms, Math. Japonica. 50 (3) (2000) 459-566.
[12] S. I. Pohozaev, A. Tesei, Blow-up of nonnegative solutions to quasilinear parabolic inequalities, Atti Accad. Naz. Lincei
Cl. Sci. Fis. Math. Natur. Rend. Lincei. 9 Math. App. 11 N◦2 (2000) 99-109.
[13] E. Mitidieri, S.I. Pohozaev, Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on RN,J. Evol. Equations. (1) (2001) 189-220.
[14] E. Mitidieri, S.I. Pohozaev, A priori estimates and blow-up of solutions to nonlinear partial differential equations and
inequalities, Proc. Steklov. Inst. Math. 234 (2001) 1-383.
[15] S.G. Samko, A.A. Kilbas, O. I. Marichev, Fractional Integrals and derivatives, Theory and application, Gordon andBreach
Publishers. (1987).
[16] J.L. Lions, W.A. Strauss, Some nonlinear evolution equations, Bull. Soc. Math. France. 93(1965) 43-96.
[17] Yuta Wakasugi, On the diffusive structure for the damped wave equation with variable coefficients, doctoral thesis, Graduate
school of science, Osaka University. (2014).
[18] P. Souplet, Monotonicity of solutions and blow-up for semilinear parabolic equations with nonlinear memory, Z. angew.
Math. Phys. 55(2004) 28-31.
[19] M.E. Taylor, Partial differential equations III in nonlinear equations, Springer, New York. (1966)