Results 11 to 20 of about 13,452 (220)

Existence Results for Caputo–Hadamard Nonlocal Fractional Multi-Order Boundary Value Problems [PDF]

open access: yesMathematics, 2021
In this paper, we studied the existence results for solutions of a new class of the fractional boundary value problem in the Caputo–Hadamard settings.
Shahram Rezapour   +5 more
doaj   +5 more sources

Lyapunov-type inequalities for fractional Langevin-type equations involving Caputo-Hadamard fractional derivative

open access: yesJournal of Inequalities and Applications, 2022
In this study, some new Lyapunov-type inequalities are presented for Caputo-Hadamard fractional Langevin-type equations of the forms Da+βHC(HCDa+α+p(t))x(t)+q(t)x(t)=0 ...
Wei Zhang, Jifeng Zhang, J. Ni
semanticscholar   +3 more sources

Compact and Noncompact Solutions to Generalized Sturm–Liouville and Langevin Equation with Caputo–Hadamard Fractional Derivative [PDF]

open access: yesMathematical Problems in Engineering, 2021
In this work, through using the Caputo–Hadamard fractional derivative operator with three nonlocal Hadamard fractional integral boundary conditions, a new type of the fractional-order Sturm–Liouville and Langevin problem is introduced.
A. Salem   +3 more
semanticscholar   +2 more sources

An Initial Value Problem Involving Caputo-Hadamard Fractional Derivative: The Extremal Solutions and Stabilization

open access: yesJournal of Advanced Engineering and Computation, 2020
In this paper, the existence of extremal solutions of Caputo-Hadamard-type fractional di erential equations (CHFDEs) with order α ∈ (1, 2) is established by employing the method of lower and upper solutions.
D. O’Regan, N. Hoa
semanticscholar   +3 more sources

Analysis of boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivative

open access: yesProyecciones (Antofagasta), 2020
We study the boundary value problems (BVPs) of the Caputo-Hadamard type fractional differential equations (FDEs) supplemented by multi-point conditions.
M. Subramanian, T. Gopal
semanticscholar   +3 more sources

Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative [PDF]

open access: yesMathematics, 2021
The main aim of this paper is to investigate the combination synchronization phenomena of various fractional-order systems using the scaling matrix. For this purpose, the combination synchronization is performed by considering two drive systems and one ...
Abdelhameed M. Nagy   +3 more
doaj   +2 more sources

Impulsive fractional differential equations with state-dependent delay involving the Caputo-Hadamard derivative

open access: yesFilomat, 2023
In this paper, we investigate the existence of solutions for a class of initial value problems for impulsive Caputo-Hadamard fractional differential equations with state-dependent delay.
Amouria Hammou, S. Hamani, J. Henderson
semanticscholar   +2 more sources

Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line

open access: yesAIMS Mathematics, 2021
The authors establish sufficient conditions for the existence of solutions to a boundary value problem for fractional differential inclusions involving the Caputo-Hadamard type derivative of order r∈(1,2] on infinite intervals.
Mouffak Benchohra   +3 more
doaj   +2 more sources

The General Solution of Impulsive Systems with Caputo-Hadamard Fractional Derivative of Order

open access: yes, 2016
Motivated by some preliminary works about general solution of impulsive system with fractional derivative, the generalized impulsive differential equations with Caputo-Hadamard fractional derivative of () are further studied by analyzing the limit case ...
Xianmin Zhang   +5 more
semanticscholar   +2 more sources

Implicit cubic B-spline scheme for the fractional Black-Scholes model with Caputo-Hadamard derivative [PDF]

open access: yesJournal of Mahani Mathematical Research
In this study, we introduce a novel numerical scheme for solving the Black–Scholes equation endowed with a Caputo-Hadamard fractional time derivative. The temporal derivative is discretized via a finite-difference approach, ensuring both stability and ...
Roya Montazeri
doaj   +2 more sources

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