%0 Journal Article %T A parabolic transform and averaging methods for integro-partial differential equations %A El-Borai, Mahmoud M. %A Awad, Hamed Kamal %A Ali, Randa Hamdy M. %J Journal of Mathematics and Computer Science %D 2021 %V 22 %N 1 %@ ISSN 2008-949X %F El-Borai2021 %X Averaging methods of the integro-partial differential equation is studied, without any restrictions on the characteristic form of the partial differential operators. By using the parabolic transform and the averaging methods, the integro-partial differential equation can be solved. %9 journal article %R 10.22436/jmcs.022.01.02 %U http://dx.doi.org/10.22436/jmcs.022.01.02 %P 9--15 %0 Journal Article %T Method of averaging and the quantum anharmonic oscillator %A A. Ben Lemlih %A J. A. Ellison %J Phys. Rev. Lett. %D 1985 %V 55 %F Lemlih1985 %0 Journal Article %T Some probability densities and fundamental solutions of fractional evolution equations %A M. M. El-Borai %J Chaos Soliton Fractals %D 2002 %V 14 %F El-Borai2002 %0 Journal Article %T Evolution equations without semi groups %A M. M. El-Borai %J J. Appl. Math. Comp. %D 2004 %V 149 %F El-Borai2004 %0 Journal Article %T Method of averaging for some parabolic partial differential equations %A M. M. El-Borai %A H. K. Awad %A R. H. M. Ali %J Acad. J. Appl. Math. Sci. %D 2020 %V 6 %F El-Borai2020 %0 Journal Article %T On averaging methods for general parabolic partial differential equation %A M. M. El-Borai %A H. K. Awad %A R. H. M. Ali %J J. Math. Computer Sci. %D 2020 %V 21 %F El-Borai2020 %0 Journal Article %T A parabolic transform and averaging methods for general partial differential equations %A M. M. El-Borai %A H. K. Awad %A R. Hamdy %A M. Ali %J J. Adv. Math. %D 2019 %V 17 %F El-Borai2019 %0 Journal Article %T A parabolic transform and some stochastic Ill-posed problem %A M. M. El-Borai %A K. El-Said El-Nadi %J British J. Math. Comput. Sci. %D 2015 %V 9 %F El-Borai2015 %0 Journal Article %T On the solutions of Ill-posed Cauchy problems for some singular integro-partial differential equations %A M. M. El-Borai %A K. El-Said El-Nadi %J Global J. Math. %D 2019 %V 13 %F El-Borai2019 %0 Journal Article %T On some fractional evolution equations %A M. M. El-Borai %A K. El-Said El-Nadi %A E. G. El-Akabawy %J Comput. Math. Appl. %D 2010 %V 59 %F El-Borai2010 %0 Journal Article %T On some fractional stochastic delay differential equations %A M. M. El-Borai %A K. El-Said El-Nadi %A H. A. Foad %J Comput. Math. Appl. %D 2010 %V 59 %F El-Borai2010 %0 Journal Article %T On the Cauchy problem for some parabolic fractional partial differential equations with time delays %A M. M. El-Borai %A W. G. El-Sayed %A F. N. Ghaffoori %J J. Math. Syst. Sci. %D 2016 %V 6 %F El-Borai2016 %0 Journal Article %T On the correct formulation of a nonlinear differential equations in Banach space %A M. M. El-Borai %A O. L. Moustafa %A F. H. Michael %J Int. J. Math. Math. Sci. %D 2001 %V 26 %F El-Borai2001 %0 Book %T Partial Differential Equations of Parabolic Type %A A. Friedman %D 1964 %I Prentice-Hall %C Englewood Cliffs %F Friedman1964 %0 Journal Article %T On the averaging method in nearly time-periodic advection-diffusion problems %A M. S. Krol %J SIAM J. Appl. Math. %D 1991 %V 51 %F Krol1991 %0 Book %T Maximum principles in differential equations %A M. H. Protter %A H. F. Weinberger %D 1967 %I Prentice-Hall %C Englewood Cliffs %F Protter1967 %0 Journal Article %T On averaging methods for partial differential equations %A F. Verhulst %J In: Symmetry and perturbation theory %D 1999 %V 1999 %F Verhulst1999