EXISTENCE OF MILD SOLUTIONS FOR A NEUTRAL FRACTIONAL EQUATION WITH FRACTIONAL NONLOCAL CONDITIONS

Nasser-Eddine Mohamed Ali Tatar

EXISTENCE OF MILD SOLUTIONS FOR A NEUTRAL FRACTIONAL EQUATION WITH FRACTIONAL NONLOCAL CONDITIONS

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The existence of mild solutions in an appropriate space is established for a second-order abstract problem of neutral type with derivatives of non-integer order in the nonlinearity as well as in the initial conditions. We introduce some new spaces taking into account the minimum requirements of regularity.

Original language	English
Journal	Electronic Journal of Differential Equations
State	Published - 2012

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title = "EXISTENCE OF MILD SOLUTIONS FOR A NEUTRAL FRACTIONAL EQUATION WITH FRACTIONAL NONLOCAL CONDITIONS",

abstract = "The existence of mild solutions in an appropriate space is established for a second-order abstract problem of neutral type with derivatives of non-integer order in the nonlinearity as well as in the initial conditions. We introduce some new spaces taking into account the minimum requirements of regularity.",

author = "Tatar, \{Nasser-Eddine Mohamed Ali\}",

year = "2012",

language = "English",

}

TY - JOUR

T1 - EXISTENCE OF MILD SOLUTIONS FOR A NEUTRAL FRACTIONAL EQUATION WITH FRACTIONAL NONLOCAL CONDITIONS

AU - Tatar, Nasser-Eddine Mohamed Ali

PY - 2012

Y1 - 2012

N2 - The existence of mild solutions in an appropriate space is established for a second-order abstract problem of neutral type with derivatives of non-integer order in the nonlinearity as well as in the initial conditions. We introduce some new spaces taking into account the minimum requirements of regularity.

AB - The existence of mild solutions in an appropriate space is established for a second-order abstract problem of neutral type with derivatives of non-integer order in the nonlinearity as well as in the initial conditions. We introduce some new spaces taking into account the minimum requirements of regularity.

M3 - Article

SN - 1072-6691

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

EXISTENCE OF MILD SOLUTIONS FOR A NEUTRAL FRACTIONAL EQUATION WITH FRACTIONAL NONLOCAL CONDITIONS

Abstract

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