Monotone Iterative and Upper–Lower Solution Techniques for Solving the Nonlinear ψ−Caputo Fractional Boundary Value Problem

Monotone Iterative and Upper–Lower Solution Techniques for Solving the Nonlinear ψ−Caputo Fractional Boundary Value Problem

The objective of this paper is to study the existence of extremal solutions for nonlinear boundary value problems of fractional differential equations involving the <inline-formula><math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><semantics><...

Full description

Bibliographic Details
Main Authors:	Abdelatif Boutiara, Maamar Benbachir, Jehad Alzabut, Mohammad Esmael Samei
Format:	Article
Language:	English
Published:	MDPI AG 2021-11-01
Series:	Fractal and Fractional
Subjects:	extremal solutions monotone iterative technique ψ-Caputo fractional derivative upper and lower solutions
Online Access:	https://www.mdpi.com/2504-3110/5/4/194

Similar Items

Monotone Iterative Method for ψ-Caputo Fractional Differential Equation with Nonlinear Boundary Conditions
by: Zidane Baitiche, et al.
Published: (2021-07-01)

Initial Value Problem For Nonlinear Fractional Differential Equations With <i>ψ</i>-Caputo Derivative Via Monotone Iterative Technique
by: Choukri Derbazi, et al.
Published: (2020-05-01)

On Solutions of Fractional Integrodifferential Systems Involving Ψ-Caputo Derivative and Ψ-Riemann–Liouville Fractional Integral
by: Hamid Boulares, et al.
Published: (2023-03-01)

Monotone Iterative Technique for a New Class of Nonlinear Sequential Fractional Differential Equations with Nonlinear Boundary Conditions under the <i>ψ</i>-Caputo Operator
by: Zidane Baitiche, et al.
Published: (2022-04-01)

Qualitative analysis of fractional relaxation equation and coupled system with Ψ-Caputo fractional derivative in Banach spaces
by: Choukri Derbazi, et al.
Published: (2021-01-01)

Extremal Solutions of Generalized Caputo-Type Fractional-Order Boundary Value Problems Using Monotone Iterative Method
by: Choukri Derbazi, et al.
Published: (2022-03-01)

Monotonically Iterative Method for the Cantilever Beam Equations
by: Yujun Cui, et al.
Published: (2023-02-01)

Monotone iterative technique for periodic problem involving Riemann–Liouville fractional derivatives in Banach spaces
by: Yonghong Ding, et al.
Published: (2018-07-01)

Some qualitative properties of solutions to a nonlinear fractional differential equation involving two Φ-Caputo fractional derivatives
by: Choukri Derbazi, et al.
Published: (2022-03-01)

Existence results and the monotone iterative technique for nonlinear fractional differential systems involving fractional integral boundary conditions
by: Ying He
Published: (2017-09-01)

Bounds for solutions of nonlinear singular interface problems on time scales using a monotone iterative method
by: D. K. K. Vamsi, et al.
Published: (2010-08-01)

The Method of upper and lower solutions for second-order non-homogeneous two-point boundary-value problem
by: Xiping Liu, et al.
Published: (2007-08-01)

Existence of a mild solution to fractional differential equations with ψ-Caputo derivative, and its ψ-Hölder continuity
by: Bui Dai Nghia
Published: (2021-05-01)

Existence of mild solutions for nonlocal ψ−Caputo-type fractional evolution equations with nondense domain
by: Mfadel Ali El, et al.
Published: (2022-12-01)

Computer Simulation and Iterative Algorithm for Approximate Solving of Initial Value Problem for Riemann-Liouville Fractional Delay Differential Equations
by: Snezhana Hristova, et al.
Published: (2020-04-01)

Existence of positive solutions for nonlinear four-point Caputo fractional differential equation with p-Laplacian
by: Yunhong Li, et al.
Published: (2017-05-01)

On some ψ Caputo fractional Čebyšev like inequalities for functions of two and three variables
by: Deepak B. Pachpatte
Published: (2020-02-01)

Monotone Iterative Technique for Nonlinear Periodic Time Fractional Parabolic Problems
by: Abdelouahed Alla Hamou, et al.
Published: (2020-09-01)

Extremal solutions of φ−Caputo fractional evolution equations involving integral kernels
by: Apassara Suechoei, et al.
Published: (2021-03-01)

Nonlinear Integral Inequalities Involving Tempered <i>Ψ</i>-Hilfer Fractional Integral and Fractional Equations with Tempered <i>Ψ</i>-Caputo Fractional Derivative
by: Milan Medveď, et al.
Published: (2023-08-01)

Langevin equation with nonlocal boundary conditions involving a ψ-Caputo fractional operators of different orders
by: Arjumand Seemab, et al.
Published: (2021-04-01)

Monotone iterative method for obtaining positive solutions of integral boundary-value problems with phi-Laplacian operator
by: Yonghong Ding
Published: (2012-11-01)

Blow-up of solutions to fractional differential inequalities involving ψ-Caputo fractional derivatives of different orders
by: Ibtisam Aldawish, et al.
Published: (2022-03-01)

Existence and iteration of monotone positive solutions for third-order nonlocal BVPs involving integral conditions
by: Hai-E Zhang, et al.
Published: (2012-02-01)

On the Ψ-Caputo fractional Bloch equations and analytical solutions
by: M. Shahrezaee, et al.
Published: (2024-05-01)

On Impulsive Implicit <i>ψ</i>-Caputo Hybrid Fractional Differential Equations with Retardation and Anticipation
by: Abdelkrim Salim, et al.
Published: (2022-12-01)

Some inequalities on multi-functions for applying in the fractional Caputo–Hadamard jerk inclusion system
by: Sina Etemad, et al.
Published: (2022-06-01)

Monotone iterative method for fractional differential equations
by: Zhanbing Bai, et al.
Published: (2016-01-01)

A novel numerical method for solution of fractional partial differential equations involving the ψ-Caputo fractional derivative
by: Amjid Ali, et al.
Published: (2023-01-01)

Ulam-Type Stability Results for Variable Order Ψ-Tempered Caputo Fractional Differential Equations
by: Donal O’Regan, et al.
Published: (2023-12-01)

Differential equations with tempered Ψ-Caputo fractional derivative
by: Milan Medveď, et al.
Published: (2021-11-01)

Monotone iterative methods for infinite systems of reaction-diffusion-convection equations with functional dependence
by: Stanisław Brzychczy
Published: (2005-01-01)

On a study of the representation of solutions of a Ψ-Caputo fractional differential equations with a single delay
by: Mustafa Aydin, et al.
Published: (2022-03-01)

Monotone method for Riemann-Liouville multi-order fractional differential systems
by: Zachary Denton
Published: (2016-01-01)

Monotone solutions for singular fractional boundary value problems
by: Xinwei Su, et al.
Published: (2020-02-01)

Caputo-Hadamard fractional differential equation with three-point boundary conditions in Banach spaces
by: Abdelatif Boutiara, et al.
Published: (2020-01-01)

Some New Inequalities and Extremal Solutions of a Caputo–Fabrizio Fractional Bagley–Torvik Differential Equation
by: Haiyong Xu, et al.
Published: (2022-08-01)

Single upper-solution or lower-solution method for Langevin equations with two fractional orders
by: Chengbo Zhai, et al.
Published: (2018-10-01)

Relative Controllability of ψ-Caputo Fractional Neutral Delay Differential System
by: Kothandapani Muthuvel, et al.
Published: (2023-05-01)

Existence results for nonlocal Cauchy problem of nonlinear ψ−Caputo type fractional differential equations via topological degree methods
by: Ali El Mfadel, et al.
Published: (2022-02-01)