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A study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditions

Advances in Difference Equations, 2021
In this research we introduce and study a new coupled system of three fractional differential equations supplemented with nonlocal multi-point coupled boundary conditions.
Bashir Ahmad, Soha Hamdan, Ahmed Alsaedi, Sotiris K. Ntouyas   +3 more
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Existence results for a coupled system of Caputo type fractional integro-differential equations with multi-point and sub-strip boundary conditions

Advances in Difference Equations, 2021
This paper is concerned with the existence and uniqueness of solutions for a coupled system of Liouville–Caputo type fractional integro-differential equations with multi-point and sub-strip boundary conditions.
Ahmed Alsaedi, Amjad F. Albideewi, Sotiris K. Ntouyas, Bashir Ahmad   +3 more
doaj   +1 more source

A study of a coupled system of Hadamard fractional differential equations with nonlocal coupled initial-multipoint conditions

Advances in Difference Equations, 2021
In this paper, we obtain the existence results for a coupled system of Hadamard fractional differential equations supplemented with nonlocal coupled initial-multipoint conditions via fixed point theorems. An example is constructed for the illustration of
Bashir Ahmad, Sotiris K. Ntouyas, Ahmed Alsaedi, Amjad F. Albideewi   +3 more
doaj   +1 more source

Nonlinear Analysis and Optimization [PDF]

Journal of Optimization Theory and Applications, 2018
This is the Preface to the Special Issue of JOTA dedicated to the 60th birthday of Professor Aram V ...
Alexey F. Izmailov, Fernando M. Lobo Pereira, Boris S. Mordukhovich   +2 more
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Existence results for coupled nonlinear fractional differential equations of different orders with nonlocal coupled boundary conditions

Journal of Inequalities and Applications, 2021
This paper is concerned with the solvability of coupled nonlinear fractional differential equations of different orders supplemented with nonlocal coupled boundary conditions on an arbitrary domain.
Ahmed Alsaedi, Soha Hamdan, Bashir Ahmad, Sotiris K. Ntouyas   +3 more
doaj   +1 more source

Nonlinear regression analysis

, 2023
Nonlinear regression analysis is a popular and important tool for scientists and engineers. In this article, we introduce theories and methods of nonlinear regression and its statistical inferences using the frequentist and Bayesian statistical modeling and computation.
Huang, Hsin-Hsiung, He, Qing
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Existence results for a self-adjoint coupled system of nonlinear second-order ordinary differential inclusions with nonlocal integral boundary conditions

Journal of Inequalities and Applications, 2022
A coupled system of nonlinear self-adjoint second-order ordinary differential inclusions supplemented with nonlocal nonseparated coupled integral boundary conditions on an arbitrary domain is studied. The existence results for convex and nonconvex valued
Bashir Ahmad, Amal Almalki, Sotiris K. Ntouyas, Ahmed Alsaedi   +3 more
doaj   +1 more source

Wind energy production by means of diffusion stochastic process. Parameters estimation [PDF]

EPJ Web of Conferences
In this work, we attempt to model wind energy production via a stochastic diffusion process. We consider an Ito-type stochastic differential * equation (SDE) and determine the probabilistic characteristics of the stochastic process solution, particularly
Oubamou Zian, El Kettani Moummou
doaj   +1 more source

Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations

Cubo, 2021
In this paper, existence and uniqueness results are established for a nonlinear sequential Hadamard fractional differential equation with multi-point boundary conditions, via Banach and Krasnosel'skiǐ's fixed point theorems and Leray-Schauder nonlinear ...
Bashir Ahmad, Amjad F. Albideewi, Sotiris K. Ntouyas, Ahmed Alsaedi   +3 more
doaj   +1 more source

Nonlinear Drillstring Dynamics Analysis [PDF]

SIAM Journal on Applied Dynamical Systems, 2009
This paper studies the dynamical response of a rotary drilling system with a drag bit, using a lumped parameter model that takes into consideration the axial and torsional vibration modes of the bit. These vibrations are coupled through a bit-rock interaction law.
Germay, Christophe, deWouw, Nathan Van, Nijmeijer, Henk, Sepulchre, Rodolphe   +3 more
openaire   +1 more source