


Paper's Title:
Analysis of a Frictional Contact Problem for Viscoelastic Piezoelectric Materials
Author(s):
Meziane Said Ameur, Tedjani Hadj Ammar and Laid Maiza
Departement of Mathematics,
El Oued University,
P.O. Box 789, 39000 El Oued,
Algeria.
Email:
saidameurmeziane@univeloued.dz
Departement of Mathematics,
El Oued University,
P.O. Box 789, 39000 El Oued,
Algeria.
Email:
hadjammartedjani@univeloued.dz
Department of Mathematics,
Kasdi Merbah University,
30000 Ouargla,
Algeria.
Email: maiza.laid@univouargla.dz
Abstract:
In this paper, we consider a mathematical model that describes the quasistatic process of contact between two thermoelectroviscoelastic bodies with damage and adhesion. The damage of the materials caused by elastic deformations. The contact is frictional and modeled with a normal compliance condition involving adhesion effect of contact surfaces. Evolution of the bonding field is described by a first order differential equation. We derive variational formulation for the model and prove an existence and uniqueness result of the weak solution. The proof is based on arguments of evolutionary variational inequalities, parabolic inequalities, differential equations, and fixed point theorem.
Paper's Title:
Some Nonlinear GronwallBellman Type Retarded Integral Inequalities with Power and Their Applications
Author(s):
Ammar Boudeliou
Department of Mathematics, University of Constantine 1
Brothers Mentouri,
BP, 325, Ain El Bey Street, 25017,
Algeria.
Email: ammar_boudeliou@umc.edu.dz
Abstract:
In this paper, we investigate a certain class of nonlinear GronwallBellman type integral inequalities with power in more general cases involving retarded term and more general nonlinearities. Our results generalize some known integral inequalities and other results obtained very recently. The inequalities given here can be used to estimate the bound on the solutions of retarded integral equation of Volterra type and integrodifferential equations (IDE) with power. Two examples are given to show the validity of our established theorems.
Paper's Title:
HermiteHadamard Type Inequalities for kRiemann Liouville Fractional Integrals Via Two Kinds of Convexity
Author(s):
R. Hussain^{1}, A. Ali^{2}, G. Gulshan^{3}, A. Latif^{4} and K. Rauf^{5}
^{1,2,3,4}Department
of Mathematics,
Mirpur University of Science and Technology, Mirpur.
Pakistan.
Email^{1}:
rashida12@gmail.com
Email^{2}:
unigraz2009@yahoo.com
Email^{3}:
ghazalagulshan@yahoo.com
Email^{4}:
asialatif87@gmail.com
^{5}Department
of Mathematics,
University of Ilorin, Ilorin,
Nigeria.
Email^{5}:
krauf@unilorin.edu.ng
Abstract:
In this article, a fundamental integral identity including the first order derivative of a given function via kRiemannLiouville fractional integral is established. This is used to obtain further HermiteHadamard type inequalities involving leftsided and rightsided kRiemannLiouville fractional integrals for mconvex and (s,m)convex functions respectively.
Paper's Title:
Fractional Integral Inequalities of HermiteHadamard Type for Pconvex and QuasiConvex Stochastic Process
Author(s):
Oualid Rholam, Mohammed Barmaki and Driss Gretet
National School of Applied Sciences (ENSA),
University Ibn Tofail,
B.P 242 Kenitra 14000,
phone number : +212606257757,
Morocco.
Email: oualid.rholam@uit.ac.ma
Science Faculty Ben M'sik,
University Hassan II,
B.P 7955 Av Driss El Harti Sidi Othmane 20700,
phone number : +212 5 22 70 46 71 ,
Morocco.
Email: mohammed.barmaki@uit.ac.ma
National School of Applied Sciences (ENSA),
University Ibn Tofail,
B.P 242 Kenitra 14000,
phone number : +212661403557,
Morocco.
Email: driss.gretete@uit.ac.ma
Abstract:
In this paper we consider the class of Pconvex and Quasiconvex stochastic processes on witch we apply a general class of generalized fractional integral operator in order to establish new integral inequalities of HermiteHadammard type. then we obtain some results for well known types of fractional integrals. Results obtained in this paper may be starting point as well as a useful source of inspiration for further research in convex analysis.
Paper's Title:
Differential Equations for Indicatrices, Spacelike and Timelike Curves
Author(s):
Sameer, Pradeep Kumar Pandey
Department of Mathematics,
Jaypee University of Information Technology,
Solan, Himachal Pradesh,
India.
Email: sksameer08@gmail.com,
pandeypkdelhi@gmail.com
Abstract:
Motivated by the recent work of Deshmukh et al. [20], in this paper we show that Tangent, Binormal, and Principal Normal indicatrices do not form nontrivial differential equations. Finally, we obtain the 4thorder differential equations for spacelike and timelike curves.
Paper's Title:
Corrigendum for Differential Equations for Indicatrices, Spacelike and Timelike Curves
Author(s):
Sameer, Pradeep Kumar Pandey
Department of Mathematics,
Jaypee University of Information Technology,
Solan, Himachal Pradesh,
India.
Email: sksameer08@gmail.com,
pandeypkdelhi@gmail.com
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Abstract:
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