GLOBAL EXISTENCE OF TIMOSHENKO SYSTEM WITH RESPECT TO FRACTIONAL MEMORY OPERATOR, SPATIAL FRACTIONAL THERMAL EFFECT AND DISTRIBUTED DELAY

Abdelbaki Choucha (), Salah Boulaaras, Djamel Ouchenane (), Asma Alharbi () and Mohamed Abdalla
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Abdelbaki Choucha: Laboratory of Operator Theory and PDEs
Salah Boulaaras: Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Kingdom of Saudi Arabia3Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Algeria
Djamel Ouchenane: Laboratory of Pure and Applied Mathematics, Amar Teledji Laghouat University, Algeria
Asma Alharbi: Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Kingdom of Saudi Arabia
Mohamed Abdalla: Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia6Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-13

Abstract: In this paper, the Timoshenko system with distributed delay term, fractional operator in the memory and spatial fractional thermal effect is considered, we will prove under some assumptions the global existence of a weak solution. Furthermore, we show some results about the stability of system by the semigroup method.

Keywords: Timoshenko System; Asymptotic Behavior; Fractional Thermal Effect; Stability; Semigroup; Distributed Delay (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22400060

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