REFERENCES
[1] M. Demiralp, “A probabilistic evolution approach trilogy, part 1: quantum expectation value evolutions, block triangularity and conicality, truncation approximants and their convergence”, J. Math. Chem., 51(4), pp. 11701186, Apr. 2013. [1] M. Demiralp, “A probabilistic evolution approach trilogy, part 1: quantum expectation value evolutions, block triangularity and conicality, truncation approximants and their convergence”, J. Math. Chem., 51(4), pp. 11701186, Apr. 2013.
[2] M. Demiralp and N. A. Baykara, “A probabilistic evolution approach trilogy, part 2: spectral issues for block triangular evolution matrix, sinE. gularities, space extension”, J. Math. Chem., pp. 11871197, Apr. 2013.
[3] M. Demiralp and B. Tunga, “A probabilistic evolution approach trilogy, part 3: Temporal variation of state variable expectation values from Liouville equation perspective”, J. Math. Chem., pp. 11981210, Apr. 2013.
[4] Cos¸ar Goz¨ ukırmızı, M. Demiralp, “Probabilis ¨ tic evolution approach for the solution of explicit autonomous ordinary differential equations. Part 1: Arbitrariness and equipartition theorem in Kronecker power series”, J. Math. Chem., 52(3), Mar. 2014.
[5] Cos¸ar Goz¨ ukırmızı, M. Demiralp, “Probabilis ¨ tic evolution approach for the solution of explicit autonomous ordinary differential equations. Part 2: Kernel separability, space extension, and, series solution via telescopic matrices”, J. Math. Chem., 52(3), Mar. 2014.
[6] Derya Bodur, Metin Demiralp, “Probabilistic Evolution Approach to First Order Explicit Ordinary Differential Equations for Two Unknown Case”, Advances in Systems Theory, Signal Processing and Computational Science, Proceedings of the 12th WSEAS International Conference on Systems Theory and Scientific Computation, ˙Istanbul, Turkiye, 2123 August 2012 ¨ , pp. 203207, 2012.
[7] Ercan Gurvit, Metin Demiralp, “Enhanced Mul ¨ tivariate Product Representation at Constancy Level in Probabilistic Evolution Approach to First Order Explicit ODEs”, Advances in Systems Theory, Signal Processing and Computational Science, Proceedings of the 12th WSEAS International Conference on Systems Theory and Scientific Computation, ˙Istanbul, Turkiye, ¨ 2123 August 2012,pp. 229234, 2012.
[8] Suha Tuna, Metin Demiralp, ”Certain Valida ¨ tions of Probabilistic Evolution Approach for Initial Value Problems”, Advances in Systems Theory, Signal Processing and Computational Science, Proceedings of the 12th WSEAS International Conference on Systems Theory and Scientific Computation, ˙Istanbul, Turkiye, 2123 ¨ August 2012, pp. 246249, 2012.
[9] Ayla Okan, N. Abdulbaki Baykara, Metin Demi ¨ ralp, “Fluctuation Suppression to Optimize Initial Data to Increase the Quality of Truncation Approximants in Probabilistic Evolution Approach for ODEs: Basic Philosophy”, International Conference of Numerical Analysis and Applied Mathematics, 15–20 September 2012, Kos Island, Greece, AIP Proceedings, 1479, pp. 20072010, 2012.
[10] Muzaffer Ayvaz, Metin Demiralp, “Space Extension Strategies for Probabilistic Evolution Approach: Classical Symmetric Quartic Anharmonic Oscillator”, The Proceedings of the WSEAS 13th International Conference on System Theory and Scientific Computation (ISTASC’13), 68 August 2013, Valencia, Spain, pp. 8186, 2013.
[11] Cos¸ar Goz¨ ukırmızı, Metin Demiralp, “Conver ¨ gence of Probabilistic Evolution Truncation Approximants via Eigenfunctions of Evolution Operator“, ”Mathematical Models and Methods in Applied Sciences“, Proceedings of the 13th WSEAS International Conference on Mathematics and Computers in Biology and Chemistry (MCBC’12), “G. Enescu”University, Iasi, Romania, 1315 June 2012, pp. 4550, 2012.
[12] F. Hunutlu, N. A. Baykara and M. Demiralp, “Truncation approximants to probabilistic evolution of ordinary differential equations under initial conditions via bidiagonal evolution matrices: simple case”, I. J. Comput. Math., 90(11), Nov. 2013.
[13] Semra Bayat, Metin Demiralp, “Probabilistic Evolution for the Most General First Order Single Unknown Explicit ODEs: Autonomization, Triangularization, and, Certain Important Aspects in the Analysis”, ”Mathematical Models and Methods in Applied Sciences”, Proceedings of the 13th WSEAS International Conference on Mathematics and Computers in Biology and Chemistry (MCBC’12), “G. Enescu“University, Iasi, Romania, 1315 June 2012, pp. 5762, 2012.
[14] Burcu Tunga, Metin Demiralp, “Probabilistic Evolutions in Classical Dynamics: Conicalization and Block Triangularization of LennardJones Systems”, International Conference of Numerical Analysis and Applied Mathematics, 15–20 September 2012, Kos Island, Greece, AIP Proceedings, 1479, pp. 19861989, 2012.
[15] Metin Demiralp and Emre Demiralp, “A contemporary linear representation theory for ordinary differential equations: probabilistic evolutions and related approximants for unidimensional autonomous systems”, J. Math. Chem., 51(1), pp. 5872, Jan. 2013.
[16] Metin Demiralp and Emre Demiralp, “A contemporary linear representation theory for ordinary differential equations: multilinear algebra in folded arrays (folarrs) perspective and its use in multidimensional case“, J. Math. Chem., 51(1), pp. 3857, Jan. 2013.
[17] Muzaffer Ayvaz, Metin Demiralp, “Getting Triangularity and Conicality in the Probabilistic Evolutionary Expectation Dynamics of the Purely Quartic Quantum Anharmonic Oscillator”, Advances in Systems Theory, Signal Processing and Computational Science, Proceedings of the 12th WSEAS International Conference on Systems Theory and Scientific Computation, ˙Istanbul, Turkiye, 2123 August 2012 ¨ , pp. 268271, 2012.
[18] Berfin Kalay, Metin Demiralp, “Quantum Expected Value Dynamics in Probabilistic Evolution Perspective for Systems Under Dynamic Weak External Fields”, Advances in Systems Theory, Signal Processing and Computational Science, Proceedings of the 12th WSEAS International Conference on Systems Theory and Scientific Computation, ˙Istanbul, Turkiye, 2123 ¨ August 2012, pp. 241245, 2012.
[19] Metin Demiralp, Semra Bayat, “Fluctuation Free Limit Behavior of the One Dimensional Quantum Systems in Space Extension Perspective: Exponentially Anharmonic Symmetric Oscillator”, The Proceedings of the WSEAS 15th International Conference on Mathematical and Computational Methods in Science and Engineering (MACMESE’13), 24 April 2013, Kuala Lumpur, Malaysia, pp. 201206, 2013
