TY - CHAP AU - Podlubny, I. PY - 1999 DA - 1999// TI - Mathematics in Science and Engineering 198 BT - Fractional Differential Equations PB - Academic Press CY - San Diego ID - Podlubny1999 ER - TY - BOOK AU - Samko, S. G. AU - Kilbas, A. A. AU - Marichev, O. I. PY - 1993 DA - 1993// TI - Fractional Integrals and Derivatives PB - Breach CY - Yverdon ID - Samko1993 ER - TY - CHAP AU - Kilbas, A. A. AU - Sristava, H. M. AU - Trujillo, J. J. PY - 2006 DA - 2006// TI - North-Holland Mathematics Studies BT - Theory and Applications of Fractional Differential Equations PB - North-Holland CY - Amsterdam ID - Kilbas2006 ER - TY - CHAP AU - Diethelm, K. PY - 2010 DA - 2010// TI - Lecture Notes in Mathematics 2004 BT - The Analysis of Fractional Differential Equations PB - Springer CY - Berlin UR - https://doi.org/10.1007/978-3-642-14574-2 DO - 10.1007/978-3-642-14574-2 ID - Diethelm2010 ER - TY - JOUR AU - Diethelm, K. AU - Ford, N. J. PY - 2004 DA - 2004// TI - Multi-order fractional differential equations and their numerical solution JO - Appl. Math. Comput VL - 154 UR - https://doi.org/10.1016/S0096-3003(03)00739-2 DO - 10.1016/S0096-3003(03)00739-2 ID - Diethelm2004 ER - TY - JOUR AU - El-Mesiry, A. E. M. AU - El-Sayed, A. M. A. AU - El-Saka, H. A. A. PY - 2005 DA - 2005// TI - Numerical methods for multi-term fractional (arbitrary) orders differential equations JO - Appl. Math. Comput VL - 160 UR - https://doi.org/10.1016/j.amc.2003.11.026 DO - 10.1016/j.amc.2003.11.026 ID - El-Mesiry2005 ER - TY - JOUR AU - Pedas, A. AU - Tamme, E. PY - 2011 DA - 2011// TI - On the convergence of spline collocation methods for solving fractional differential equations JO - J. Comput. Appl. Math VL - 235 UR - https://doi.org/10.1016/j.cam.2010.10.054 DO - 10.1016/j.cam.2010.10.054 ID - Pedas2011 ER - TY - JOUR AU - El-Sayed, A. M. A. AU - El-Mesiry, A. E. M. AU - El-Saka, H. A. A. PY - 2004 DA - 2004// TI - Numerical solution for multi-term fractional (arbitrary) orders differential equations JO - Comput. Appl. Math VL - 23 ID - El-Sayed2004 ER - TY - CHAP AU - Gorenflo, R. AU - Mainardi, F. ED - Carpinteri, A. ED - Mainardi, F. PY - 1997 DA - 1997// TI - Fractional calculus: integral and differential equations of fractional order BT - Fractals and Fractional Calculus in Continuum Mechanics PB - Springer CY - Vienna UR - https://doi.org/10.1007/978-3-7091-2664-6_5 DO - 10.1007/978-3-7091-2664-6_5 ID - Gorenflo1997 ER - TY - CHAP AU - Yakar, A. AU - Koksal, M. E. PY - 2012 DA - 2012// TI - Existence results for solutions of nonlinear fractional differential equations BT - Abstr. Appl. Anal ID - Yakar2012 ER - TY - CHAP AU - De la Sen, M. PY - 2011 DA - 2011// TI - Positivity and stability of the solutions of Caputo fractional linear time-invariant systems of any order with internal point delays BT - Abstr. Appl. Anal ID - De la Sen2011 ER - TY - JOUR AU - Chengjun, Y. PY - 2012 DA - 2012// TI - Two positive solutions for (n−1,1)-type semipositone integral boundary value problems for coupled systems of nonlinear fractional differential equations JO - Commun. Nonlinear Sci. Numer. Simul VL - 17 UR - https://doi.org/10.1016/j.cnsns.2011.06.008 DO - 10.1016/j.cnsns.2011.06.008 ID - Chengjun2012 ER - TY - CHAP AU - De la Sen, M. AU - Agarwal, R. P. AU - Ibeas, A. AU - Quesada, S. A. PY - 2011 DA - 2011// TI - On the existence of equilibrium points, boundedness, oscillating behavior and positivity of a SVEIRS epidemic model under constant and impulsive vaccination BT - Adv. Differ. Equ ID - De la Sen2011 ER - TY - CHAP AU - De la Sen, M. PY - 2011 DA - 2011// TI - About robust stability of Caputo linear fractional dynamic systems with time delays through fixed point theory BT - Fixed Point Theory Appl ID - De la Sen2011 ER - TY - JOUR AU - Chengjun, Y. PY - 2011 DA - 2011// TI - Multiple positive solutions for semipositone (n,p)-type boundary value problems of nonlinear fractional differential equations JO - Anal. Appl VL - 9 UR - https://doi.org/10.1142/S0219530511001753 DO - 10.1142/S0219530511001753 ID - Chengjun2011 ER - TY - CHAP AU - Chengjun, Y. PY - 2011 DA - 2011// TI - Multiple positive solutions for (n−1,1)-type semipositone conjugate boundary value problems for coupled systems of nonlinear fractional differential equations BT - Electron. J. Qual. Theory Differ. Equ ID - Chengjun2011 ER - TY - CHAP AU - Agarwal, R. P. AU - Belmekki, M. AU - Benchohra, M. PY - 2009 DA - 2009// TI - A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative BT - Adv. Differ. Equ ID - Agarwal2009 ER - TY - CHAP AU - Agarwal, R. P. AU - de Andrade, B. AU - Cuevas, C. PY - 2010 DA - 2010// TI - On type of periodicity and ergodicity to a class of fractional order differential equations BT - Adv. Differ. Equ ID - Agarwal2010 ER - TY - JOUR AU - Agarwal, R. P. AU - de Andrade, B. AU - Cuevas, C. PY - 2010 DA - 2010// TI - Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations JO - Nonlinear Anal., Real World Appl VL - 11 UR - https://doi.org/10.1016/j.nonrwa.2010.01.002 DO - 10.1016/j.nonrwa.2010.01.002 ID - Agarwal2010 ER - TY - JOUR AU - Berdyshev, A. S. AU - Cabada, A. AU - Karimov, E. T. PY - 2011 DA - 2011// TI - On a non-local boundary problem for a parabolic-hyperbolic equation involving a Riemann-Liouville fractional differential operator JO - Nonlinear Anal VL - 75 UR - https://doi.org/10.1016/j.na.2011.12.033 DO - 10.1016/j.na.2011.12.033 ID - Berdyshev2011 ER - TY - CHAP AU - Ashyralyev, A. AU - Amanov, D. PY - 2012 DA - 2012// TI - Initial-boundary value problem for fractional partial differential equations of higher order BT - Abstr. Appl. Anal ID - Ashyralyev2012 ER - TY - CHAP AU - Ashyralyev, A. AU - Sharifov, Y. A. PY - 2012 DA - 2012// TI - Existence and uniqueness of solutions of the system of nonlinear fractional differential equations with nonlocal and integral boundary conditions BT - Abstr. Appl. Anal ID - Ashyralyev2012 ER - TY - JOUR AU - Kirane, M. AU - Laskri, Y. PY - 2005 DA - 2005// TI - Nonexistence of global solutions to a hyperbolic equation with a space-time fractional damping JO - Appl. Math. Comput VL - 167 UR - https://doi.org/10.1016/j.amc.2004.08.038 DO - 10.1016/j.amc.2004.08.038 ID - Kirane2005 ER - TY - JOUR AU - Kirane, M. AU - Laskri, Y. AU - Tatar, N. E. PY - 2005 DA - 2005// TI - Critical exponents of Fujita type for certain evolution equations and systems with spatio-temporal fractional derivatives JO - J. Math. Anal. Appl VL - 312 UR - https://doi.org/10.1016/j.jmaa.2005.03.054 DO - 10.1016/j.jmaa.2005.03.054 ID - Kirane2005 ER - TY - JOUR AU - Kirane, M. AU - Malik, S. A. PY - 2010 DA - 2010// TI - The profile of blowing-up solutions to a nonlinear system of fractional differential equations JO - Nonlinear Anal., Theory Methods Appl VL - 73 UR - https://doi.org/10.1016/j.na.2010.06.088 DO - 10.1016/j.na.2010.06.088 ID - Kirane2010 ER - TY - JOUR AU - Araya, D. AU - Lizama, C. PY - 2008 DA - 2008// TI - Almost automorphic mild solutions to fractional differential equations JO - Nonlinear Anal VL - 69 UR - https://doi.org/10.1016/j.na.2007.10.004 DO - 10.1016/j.na.2007.10.004 ID - Araya2008 ER - TY - JOUR AU - N’Guerekata, G. M. PY - 2009 DA - 2009// TI - A Cauchy problem for some fractional abstract differential equation with nonlocal conditions JO - Nonlinear Anal VL - 70 UR - https://doi.org/10.1016/j.na.2008.02.087 DO - 10.1016/j.na.2008.02.087 ID - N’Guerekata2009 ER - TY - CHAP AU - Mophou, G. M. AU - N’Guerekata, G. M. PY - 2009 DA - 2009// TI - Mild solutions for semilinear fractional differential equations BT - Electron. J. Differ. Equ ID - Mophou2009 ER - TY - JOUR AU - Mophou, G. M. AU - N’Guerekata, G. M. PY - 2009 DA - 2009// TI - Existence of mild solution for some fractional differential equations with nonlocal conditions JO - Semigroup Forum VL - 79 UR - https://doi.org/10.1007/s00233-008-9117-x DO - 10.1007/s00233-008-9117-x ID - Mophou2009 ER - TY - JOUR AU - Lakshmikantham, V. PY - 2008 DA - 2008// TI - Theory of fractional differential equations JO - Nonlinear Anal VL - 69 UR - https://doi.org/10.1016/j.na.2007.09.025 DO - 10.1016/j.na.2007.09.025 ID - Lakshmikantham2008 ER - TY - JOUR AU - Lakshmikantham, V. AU - Devi, J. V. PY - 2008 DA - 2008// TI - Theory of fractional differential equations in Banach spaces JO - Eur. J. Pure Appl. Math VL - 1 ID - Lakshmikantham2008 ER - TY - JOUR AU - Ashyralyev, A. AU - Dal, F. AU - Pınar, Z. PY - 2011 DA - 2011// TI - A note on the fractional hyperbolic differential and difference equations JO - Appl. Math. Comput VL - 217 UR - https://doi.org/10.1016/j.amc.2010.11.017 DO - 10.1016/j.amc.2010.11.017 ID - Ashyralyev2011 ER - TY - JOUR AU - Ashyralyev, A. AU - Hicdurmaz, B. PY - 2011 DA - 2011// TI - A note on the fractional Schrödinger differential equations JO - Kybernetes VL - 40 UR - https://doi.org/10.1108/03684921111142287 DO - 10.1108/03684921111142287 ID - Ashyralyev2011 ER - TY - CHAP AU - Cakir, Z. PY - 2012 DA - 2012// TI - Stability of difference schemes for fractional parabolic PDE with the Dirichlet-Neumann conditions BT - Abstr. Appl. Anal ID - Cakir2012 ER - TY - CHAP AU - Ashyralyev, A. AU - Cakir, Z. PY - 2012 DA - 2012// TI - On the numerical solution of fractional parabolic partial differential equations with the Dirichlet condition BT - Discrete Dyn. Nat. Soc ID - Ashyralyev2012 ER - TY - JOUR AU - Clement, P. AU - Delabrire, S. G. PY - 1999 DA - 1999// TI - On the regularity of abstract Cauchy problems and boundary value problems JO - Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei Mat. Appl VL - 9 ID - Clement1999 ER - TY - JOUR AU - Agarwal, R. P. AU - Bohner, M. AU - Shakhmurov, V. B. PY - 2005 DA - 2005// TI - Maximal regular boundary value problems in Banach-valued weighted space JO - Bound. Value Probl VL - 1 ID - Agarwal2005 ER - TY - CHAP AU - Lunardi, A. PY - 1995 DA - 1995// TI - Operator Theory: Advances and Applications BT - Analytic Semigroups and Optimal Regularity in Parabolic Problems PB - Birkhäuser CY - Basel ID - Lunardi1995 ER - TY - JOUR AU - Ashyralyev, A. AU - Hanalyev, A. AU - Sobolevskii, P. E. PY - 2001 DA - 2001// TI - Coercive solvability of nonlocal boundary value problem for parabolic equations JO - Abstr. Appl. Anal VL - 6 UR - https://doi.org/10.1155/S1085337501000495 DO - 10.1155/S1085337501000495 ID - Ashyralyev2001 ER - TY - JOUR AU - Ashyralyev, A. AU - Hanalyev, A. PY - 2012 DA - 2012// TI - Coercive solvability of parabolic differential equations with dependent operators JO - TWMS J. Appl. Eng. Math VL - 2 ID - Ashyralyev2012 ER - TY - BOOK AU - Ashyralyev, A. AU - Sobolevskii, P. E. PY - 1994 DA - 1994// TI - Well-Posedness of Parabolic Difference Equations PB - Birkhäuser CY - Basel UR - https://doi.org/10.1007/978-3-0348-8518-8 DO - 10.1007/978-3-0348-8518-8 ID - Ashyralyev1994 ER - TY - JOUR AU - Ashyralyev, A. PY - 2011 DA - 2011// TI - Well-posedness of the Basset problem in spaces of smooth functions JO - Appl. Math. Lett VL - 14 UR - https://doi.org/10.1016/j.aml.2011.02.002 DO - 10.1016/j.aml.2011.02.002 ID - Ashyralyev2011 ER - TY - JOUR AU - Basset, A. B. PY - 1910 DA - 1910// TI - On the descent of a sphere in a viscous liquid JO - Q. J. Math VL - 42 ID - Basset1910 ER - TY - JOUR AU - Ashyralyev, A. PY - 2012 DA - 2012// TI - Well-posedness of parabolic differential and difference equations with the fractional differential operator JO - Malays. J. Math. Sci VL - 6 ID - Ashyralyev2012 ER - TY - JOUR AU - Ashyralyev, A. PY - 2009 DA - 2009// TI - A note on fractional derivatives and fractional powers of operators JO - J. Math. Anal. Appl VL - 357 UR - https://doi.org/10.1016/j.jmaa.2009.04.012 DO - 10.1016/j.jmaa.2009.04.012 ID - Ashyralyev2009 ER - TY - JOUR AU - Ashyralyev, A. AU - Sobolevskii, P. E. PY - 1984 DA - 1984// TI - Theory of the interpolation of the linear operators and the stability of the difference schemes JO - Dokl. Akad. Nauk SSSR VL - 275 ID - Ashyralyev1984 ER - TY - JOUR AU - Alibekov, H. A. AU - Sobolevskii, P. E. PY - 1980 DA - 1980// TI - Stability and convergence of difference schemes of a high order of approximation for parabolic partial differential equations JO - Ukr. Mat. Zh VL - 32 ID - Alibekov1980 ER - TY - JOUR AU - Alibekov, H. A. AU - Sobolevskii, P. E. PY - 1977 DA - 1977// TI - The stability of difference schemes for parabolic equations JO - Dokl. Akad. Nauk SSSR VL - 232 ID - Alibekov1977 ER - TY - JOUR AU - Sobolevskii, P. E. PY - 1971 DA - 1971// TI - The coercive solvability of difference equations JO - Dokl. Akad. Nauk SSSR VL - 201 ID - Sobolevskii1971 ER - TY - CHAP AU - Samarskii, A. A. AU - Nikolaev, E. S. PY - 1989 DA - 1989// TI - 2 BT - Numerical Methods for Grid Equations: Iterative Methods PB - Birkhäuser CY - Basel ID - Samarskii1989 ER -