Delfim F. M. Torres

Modeling and Simulation · 2000–2020

A researcher in the Science corpus: 29 papers; trusts 53 researchers and is trusted by 39 researchers here, as inferred from the citation graph.

Subfields

• Modeling and Simulation — 151 citations into it; #90 of 2,105 by trust here, #72 by citations
• Numerical Analysis — 94 citations into it; #624 of 3,586 by trust here, #332 by citations
• Applied Mathematics — 84 citations into it; #636 of 7,620 by trust here, #346 by citations
• Statistical and Nonlinear Physics — 46 citations into it; #3,803 of 10,127 by trust here, #3,284 by citations
• Control and Systems Engineering — 25 citations into it; #2,916 of 8,257 by trust here, #2,528 by citations
• Mechanics of Materials — 18 citations into it
• Mathematical Physics — 9 citations into it
• Public Health, Environmental and Occupational Health — 9 citations into it

Whom Delfim F. M. Torres trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Om Prakash Agrawal
2. Gastão S. F. Frederico
3. Jacky Cresson
4. Anatoly A. Kilbas
5. Rudolf Hilfer
6. Dumitru Băleanu
7. Rami Ahmad El-Nabulsi
8. Martin J. Bohner
9. Guy Jumarie
10. Malgorzata Klimek

Who trusts Delfim F. M. Torres overall

1. Rui A. C. Ferreira
2. Ricardo Almeida
3. Gastão S. F. Frederico
4. Agnieszka B. Malinowska
5. Loïc Bourdin
6. G. M. Bahaa
7. Dorota Mozyrska
8. Rami Ahmad El-Nabulsi
9. Amar Debbouche
10. Shakoor Pooseh

Papers from Delfim F. M. Torres's perspective

Ordered by how strongly the researchers Delfim F. M. Torres trusts endorse each paper. Same corpus, a different order for every researcher.

1. Theory and Applications of Fractional Differential Equations
2. Fractional Differential Equations
3. Fractional Calculus in Bioengineering
4. Fractional Integrals and Derivatives: Theory and Applications
5. Fractional Calculus: Integral and Differential Equations of Fractional Order
6. Fractional embedding of differential operators and Lagrangian systems
7. Applications Of Fractional Calculus In Physics
8. Formulation of Euler–Lagrange equations for fractional variational problems
9. Hamiltonian Chaos and Fractional Dynamics
10. Fractional actionlike variational problems

Their papers

• Fractional actionlike variational problems (2008) — 193 citations
• FRACTIONAL h-DIFFERENCE EQUATIONS ARISING FROM THE CALCULUS OF VARIATIONS (2011) — 180 citations
• NECESSARY OPTIMALITY CONDITIONS FOR FRACTIONAL DIFFERENCE PROBLEMS OF THE CALCULUS OF VARIATIONS (2010) — 136 citations
• Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives (2010) — 255 citations
• Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan (2020) — 647 citations
• Lyapunov functions for fractional-order systems in biology: Methods and applications (2020) — 85 citations
• The Variable-Order Fractional Calculus of Variations (2018) — 186 citations
• A Conformable Fractional Calculus on Arbitrary Time Scales (2015) — 213 citations
• Advanced Methods in the Fractional Calculus of Variations (2015) — 196 citations
• Existence and Uniqueness of Solution for a Fractional Riemann-Liouville Initial Value Problem on Time Scales (2015) — 59 citations
• Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether's first theorem (2015) — 50 citations
• The calculus of variations and optimal control (2015) — 182 citations
• Sobolev Type Fractional Dynamic Equations and Optimal Multi-Integral Controls with Fractional Nonlocal Conditions (2014) — 86 citations
• A discrete method to solve fractional optimal control problems (2014) — 84 citations
• Fractional order optimal control problems with free terminal time (2013) — 131 citations
• Noether's symmetry Theorem for variational and optimal control problems with time delay (2012) — 51 citations
• Introduction to the Fractional Calculus of Variations (2012) — 374 citations
• Fractional calculus of variations for a combined Caputo derivative (2011) — 83 citations
• Fractional Variational Calculus with Classical and Combined Caputo Derivatives (2011) — 129 citations
• Minimal modified energy control for fractional linear control systems with the Caputo derivative (2010) — 59 citations