Well‐posedness and stability of a nonlinear time‐delayed dispersive equation via the fixed point technique: A case study of no interior damping

2022 ◽  
Author(s):  
Kaïs Ammari ◽  
Boumediène Chentouf ◽  
Nejib Smaoui
Keyword(s):  
Fixed Point ◽  
Well Posedness ◽  
Dispersive Equation ◽  
Fixed Point Technique

SOME RESULTS ON A NEW MODEL OF PHASE RELAXATION

2002 ◽  
Vol 12 (03) ◽  
pp. 431-444 ◽  
Author(s):  
VINCENZO RECUPERO
Keyword(s):  
Fixed Point ◽  
Stefan Problem ◽  
Relaxation Parameter ◽  
Well Posedness ◽  
Phase Variable ◽  
Relaxation Dynamics ◽  
Multivalued Maps ◽  
Phase Relaxation ◽  
New Model ◽  
Fixed Point Technique

This paper deals with the analysis of the relaxed Stefan problem with the relaxation dynamics for the phase variable χ [Formula: see text] where θ stands for the temperature. We prove the well-posedness of the problem by means of a fixed point-technique for multivalued maps and show that its solution converges to the solution of the Stefan problem as the relaxation parameter ε tends to zero.

scholarly journals Solution of Fractional Differential Equations Utilizing Symmetric Contraction

2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Aftab Hussain
Keyword(s):  
Differential Equation ◽  
Fixed Point ◽  
Fractional Differential Equations ◽  
Metric Space ◽  
Metric Spaces ◽  
Order Differential Equation ◽  
Fractional Order Differential Equation ◽  
Continuous Mappings ◽  
Fractional Differential ◽  
Fixed Point Technique

The aim of this paper is to present another family of fractional symmetric α - η -contractions and build up some new results for such contraction in the context of ℱ -metric space. The author derives some results for Suzuki-type contractions and orbitally T -complete and orbitally continuous mappings in ℱ -metric spaces. The inspiration of this paper is to observe the solution of fractional-order differential equation with one of the boundary conditions using fixed-point technique in ℱ -metric space.

scholarly journals Stability of Unbounded Differential Equations in Menger k-Normed Spaces: A Fixed Point Technique

Mathematics ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 400 ◽  
Author(s):  
Masoumeh Madadi ◽  
Reza Saadati ◽  
Manuel De la Sen
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Normed Spaces ◽  
Fixed Point Technique ◽  
Rassias Stability

We attempt to solve differential equations υ ′ ( ν ) = Γ ( ν , υ ( ν ) ) and use the fixed point technique to prove its Hyers–Ulam–Rassias stability in Menger k-normed spaces.

A hysteretic periodic magnetic field solution using Preisach model and Fixed Point technique

1995 ◽  
Vol 31 (6) ◽  
pp. 3548-3550 ◽  
Author(s):  
O. Bottauscio ◽  
D. Chiarabaglio ◽  
M. Chiampi ◽  
M. Repetto
Keyword(s):  
Magnetic Field ◽  
Fixed Point ◽  
Preisach Model ◽  
Periodic Magnetic Field ◽  
Field Solution ◽  
Fixed Point Technique
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