Publication: Existence and nonexistence of solution of fractional Lam� wave equation with polynomial nonlinearity source terms
Date
2023
Authors
Mezouar N.
Boulaaras S.
Jan R.
Benramdane A.
Bensaber F.
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier B.V.
Abstract
In this work, we examine the existence and nonexistence of solution for lam� wave equation with a nonlinear source terms and fractional boundary dissipation. By using the semi group theory approach, we prove the existence of a global solution. Furthermore, we established the blow-up results under the non-positive initial energy condition. � 2023 The Author(s)
Description
Keywords
Blow-up , Fractional differential equation , Global existence , Lam� system , Mathematical operators , Partial differential equations , Control nonlinearities , Group theory , Nonlinear equations , Polynomials , Wave equations , Blow-up , Existence and non existences , Existence of Solutions , Fractional differential equations , Global existence , Lame system , Lame waves , Nonexistence of solutions , Polynomial nonlinearities , Source terms , Mathematical operators