caa a22 4500 445361913 CHVBK 20180317142917.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s11071-010-9933-x doi (NATIONALLICENCE)springer-10.1007/s11071-010-9933-x Hamilton-Jacobi and fractional like action with time scaling [Elektronische Daten] [Mohamed Herzallah, Sami Muslih, Dumitru Baleanu, Eqab Rabei] This paper represents the Hamilton-Jacobi formulation for fractional variational problem with fractional like action written as an integration over a time scaling parameter. Also we developed the fractional Hamiltonian formulation for the fractional like action. In all the given calculations, the most popular Riemann-Liouville (RL) and Caputo fractional derivatives are employed. An example illustrates our approach. Springer Science+Business Media B.V., 2011 Fractional calculus nationallicence Fractional derivatives nationallicence Fractional variational principle nationallicence Fractional Hamilton-Jacobi formulation nationallicence Herzallah Mohamed College of Science in Zulfi, Majmaah University, Zulfi, Saudi Arabia aut Muslih Sami Department of Mechanical Engineering, Southern Illinois University, 62901, Carbondale, IL, USA aut Baleanu Dumitru Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University, 06530, Ankara, Turkey aut Rabei Eqab Physics Department, Al-al-Bayt University, 25113, Mafraq, Jordan aut Nonlinear Dynamics Springer Netherlands 66/4(2011-12-01), 549-555 0924-090X 66:4<549 2011 66 11071 https://doi.org/10.1007/s11071-010-9933-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9933-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Herzallah Mohamed College of Science in Zulfi, Majmaah University, Zulfi, Saudi Arabia aut NATIONALLICENCE 700 1- Muslih Sami Department of Mechanical Engineering, Southern Illinois University, 62901, Carbondale, IL, USA aut NATIONALLICENCE 700 1- Baleanu Dumitru Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University, 06530, Ankara, Turkey aut NATIONALLICENCE 700 1- Rabei Eqab Physics Department, Al-al-Bayt University, 25113, Mafraq, Jordan aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 66/4(2011-12-01), 549-555 0924-090X 66:4<549 2011 66 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer