Final Remarks and Open Problems
In this monograph, we first consider a semilinear fractional kinetic equation that is characterized by the presence of a nonlinear time-dependent source \(f=f\left ( x,t,u\right ) \) , a generalized time derivative \(\partial _{t}^{\alpha }\) in the sense
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iprian G. Gal Mahamadi Warma
Fractional-in-Time Semilinear Parabolic Equations and Applications
Mathématiques et Applications Directeurs de la collection : M. Hoffmann et V. Perrier
84
More information about this series at http://www.springer.com/series/2966
MATHÉMATIQUES & APPLICATIONS Comité de Lecture 2018–2021/Editorial Board 2018–2021
Rémi ABGRALL Inst. f. Math., University of Zurich, Zurich, CH [email protected] Grégoire ALLAIRE CMAP, École Polytechnique, Palaiseau, FR [email protected] Karine BEAUCHARD ENS Rennes, Bruz, FR [email protected] Michel BENAÏM Inst. Math., Université de Neuchâtel, Neuchâtel, CH [email protected] Gérard BIAU LPSM, UMR 8001, Sorbonne Université, Paris, FR [email protected] Arnak DALALYAN ENSAE / CREST, Malakoff, FR [email protected] Arnaud DEBUSSCHE ENS Rennes, Bruz, FR [email protected] Sourour ELLOUMI UMA, ENSTA, Palaiseau, FR [email protected] Isabelle GALLAGHER DMA, ENS, Paris, FR [email protected] Josselin GARNIER CMAP, École Polytechnique, Palaiseau, FR [email protected] Stéphane GAUBERT INRIA, École Polytechnique, Palaiseau, FR [email protected] Emmanuel GOBET CMAP, École Polytechnique, Palaiseau, FR [email protected] Raphaele HERBIN CMI LATP, I2M, Université d’Aix-Marseille, Marseille, FR [email protected]
Marc HOFFMANN CEREMADE, Université Paris-Dauphine, Paris, FR [email protected] Claude LE BRIS CERMICS, École des Ponts ParisTech, Marne la Vallée, FR [email protected] Sylvie MÉLÉARD CMAP, École Polytechnique, Palaiseau, FR [email protected] Felix OTTO MPI MIS, Leipzig, GE [email protected] Valérie PERRIER Lab. Jean-Kuntzmann, Univ. Grenoble-Alpes, Grenoble, FR [email protected] Gabriel PEYRÉ DMA, ENS, Paris, FR [email protected] Pierre ROUCHON CAS, Mines Paris Tech, Paris, FR [email protected] Annick SARTENAER Dépt. Mathématiques, Université de Namur, Namur, BE [email protected] Eric SONNENDRÜCKER MPI für Plasmaphysik, Garching, GE [email protected] Alain TROUVÉ CMLA, Ecole Normale Supérieure, Cachan, FR [email protected] Cédric VILLANI IHP, Paris, FR [email protected] Enrique ZUAZUA UAM, Madrid, ES [email protected]
Directeurs de la collection M. HOFFMANN et V. PERRIER
Ciprian G. Gal • Mahamadi Warma
Fractional-in-Time Semilinear Parabolic Equations and Applications
Ciprian G. Gal Department of Mathematics Florida International University Miami, FL, USA
Mahamadi Warma Department of Mathematical Sciences George Mason University Fairfax, VA, USA
ISSN 1154-483X ISSN 2198-3275 (electronic) Mathématiques et Applications ISBN 978-3-030-45042-7 ISBN 978-3-030-45043-4 (eBook) https://doi.org/10.1007/978-3-030-45043-4 Mathematics Subject Classification: 35R11, 35A01, 35A02, 35B45, 35B65, 35K58, 35E20, 35M13, 35Q86, 35Q91, 35Q92 © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the
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