scholarly journals Symmetric Duality for the Multiobjective Fractional Variational Problem with Partial Invexity

2000 ◽  
Vol 245 (1) ◽  
pp. 105-123 ◽  
Author(s):  
Chen Xiuhong
Keyword(s):  
Variational Problem ◽  
Symmetric Duality ◽  
Multiobjective Fractional Variational Problem ◽  
Fractional Variational Problem

CONSTRAINED SCALAR VALUED DYNAMIC GAMES AND SYMMETRIC DUALITY FOR MULTI OBJECTIVE VARIATIONAL PROBLEM

2018 ◽  
Vol 7 (2) ◽  
pp. 17
Author(s):  
REDDY L. VENKATESWARA ◽  
DOLA DEVANANDAM ◽  
B. SATYANARAYANA ◽  
◽  
◽  
...  
Keyword(s):  
Variational Problem ◽  
Dynamic Games ◽  
Symmetric Duality ◽  
Multi Objective

scholarly journals Fractional Variational Problems of Euler-Lagrange Equations with Holonomic Constrained Systems

2016 ◽  
Vol 8 (3) ◽  
pp. 60 ◽  
Author(s):  
Eyad Hasan Hasan
Keyword(s):  
Variational Problem ◽  
Fractional Derivatives ◽  
Variational Problems ◽  
Constrained Systems ◽  
Lagrange Equations ◽  
Integer Order ◽  
Fractional Variational Problems ◽  
Fractional Variational Problem ◽  
Problem Of Lagrange

<p class="1Body">In this paper, we examined the fractional Euler-Lagrange equations for Holonomic constrained systems. The Euler-Lagrange equations are derived using the fractional variational problem of Lagrange. In addition, we achieved that the classical results were obtained are agreement when fractional derivatives are replaced with the integer order derivatives. Two physical examples are discussed to demonstrate the formalism.</p>

scholarly journals Solving Fractional Variational Problem Via an Orthonormal Function

2019 ◽  
Vol 7 (2) ◽  
Author(s):  
Akram Kheirabadi ◽  
Asadollah Mahmoudzadeh Vaziri ◽  
Sohrab Effati
Keyword(s):  
Variational Problem ◽  
Fractional Variational Problem

About Lagrangian Formulation of Classical Fields Within Riemann-Liouville Fractional Derivatives

2005 ◽  
Author(s):  
Dumitru Baleanu ◽  
Sami I. Muslih
Keyword(s):  
Variational Problem ◽  
Path Integral ◽  
Fractional Derivatives ◽  
Mechanical Systems ◽  
Lagrangian Formulation ◽  
Dinger Equation ◽  
Classical Fields ◽  
Fractional Variational Problem ◽  
Problem Of Lagrange

Recently, an extension of the simplest fractional problem and the fractional variational problem of Lagrange was obtained by Agrawal. The first part of this study presents the fractional Lagrangian formulation of mechanical systems and introduce the Levy path integral. The second part is an extension to Agrawal’s approach to classical fields with fractional derivatives. The classical fields with fractional derivatives are investigated by using the Lagrangian formulation. The case of the fractional Schro¨dinger equation is presented.

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