03737nam a22005295i 4500 978-3-031-62513-8 DE-He213 20251030112701.0 cr nn 008mamaa 240731s2024 sz | s |||| 0|eng d 9783031625138 978-3-031-62513-8 10.1007/978-3-031-62513-8 doi QA370-380 PBKJ bicssc MAT007000 bisacsh PBKJ thema Ahmad, Bashir. author. aut http://id.loc.gov/vocabulary/relators/aut 81618 Nonlinear Systems of Fractional Differential Equations [electronic resource] / by Bashir Ahmad, Sotiris K. Ntouyas. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XIV, 592 p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Preliminaries -- Coupled Multi–Point fractional differential systems -- Systems of Caputo type sequential fractional differential equations -- A coupled nonlocal system of three fractional differential equations -- Nonlocal coupled systems of fractional differential equations -- Coupled systems of nonlinear multi-term fractional differential equations -- Nonlinear mixed-order coupled fractional differential systems -- Systems of Hilfer type fractional differential equations -- Coupled systems of sequential Caputo and Hadamard fractional differential equations -- Systems of fractional Langevin equations with boundary conditions -- A system of nonlocal Erd´elyi-Kober fractional differential equations -- Positive solutions for fractional differential systems -- A Langevin-type 𝒒-variant system -- A coupled system of fractional 𝒒-integro-difference equations. This book studies the theoretical aspects for a variety of coupled fractional differential systems involving Riemann-Liouville, Caputo, ψ-Riemann--Liouville, Hilfer, ψ--Hilfer, Hadamard, Hilfer--Hadamard, Erdelyi--Kober, (k, ψ)-Hilfer, generalized, Proportional, ψ-Proportional, Hilfer--proportional, ψ-Hilfer--proportional type fractional derivative operators, subject to different types of nonlocal boundary conditions. The topic of fractional differential systems is one of the hot and important topics of research as such systems appear in the mathematical modeling of physical and technical phenomena. As the book contains some recent new work on the existence theory for nonlocal boundary value problems of fractional differential systems, it is expected that it will attract the attention of researchers, modelers and graduate students who are interested in doing their research on fractional differential systems. . Differential equations. Mathematical analysis. 64178 Mathematical models. 66910 Differential Equations. Analysis. Mathematical Modeling and Industrial Mathematics. 66912 Ntouyas, Sotiris K. author. aut http://id.loc.gov/vocabulary/relators/aut 81619 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031625121 Printed edition: 9783031625145 Printed edition: 9783031625152 https://doi.org/10.1007/978-3-031-62513-8 ZDB-2-SMA ZDB-2-SXMS 62084 62084