Results 21 to 30 of about 237 (141)

Nonlocal Nonlinear Fractional-Order Sequential Hilfer–Caputo Multivalued Boundary-Value Problems

Mathematics
This paper is concerned with the investigation of a nonlocal sequential multistrip boundary-value problem for fractional differential inclusions, involving (k1,ψ1)-Hilfer and (k2,ψ2)-Caputo fractional derivative operators, and (k2,ψ2)- Riemann–Liouville ...
Sotiris K. Ntouyas, Bashir Ahmad, Jessada Tariboon   +2 more
doaj   +2 more sources

An Analysis of the Computational Complexity and Efficiency of Various Algorithms for Solving a Nonlinear Model of Radon Volumetric Activity with a Fractional Derivative of a Variable Order

Computation
The article presents a study of the computational complexity and efficiency of various parallel algorithms that implement the numerical solution of the equation in the hereditary α(t)-model of radon volumetric activity (RVA) in a storage chamber.
Dmitrii Tverdyi
doaj   +2 more sources

Application of fractional quantum calculus on coupled hybrid differential systems within the sequential Caputo fractionalq-derivatives

Demonstratio Mathematica, 2023
AbstractIn the current manuscript, we combine theq-fractional integral operator andq-fractional derivative to investigate a coupled hybrid fractionalq-differential systems with sequential fractionalq-derivatives. The existence and uniqueness of solutions for the proposed system are established by means of Leray-Schauder’s alternative and the Banach ...
Jehad Alzabut, Mohamed Houas, Mohamed I. Abbas   +2 more
openaire   +2 more sources

Nonlinear sequential fractional boundary value problems involving generalized ψ-Caputo fractional derivatives

Filomat, 2022
This paper is devoted to study the nonlinear sequential fractional boundary value problems involving generalized ?-Caputo fractional derivatives with nonlocal boundary conditions. We investigate the Green function and some of its properties, from which we obtain a new Lyapunov-type inequality for our problem.
openaire   +2 more sources

Solution of Fractional Order Equations in the Domain of the Mellin Transform

Journal of Nigerian Society of Physical Sciences, 2019
This paper presents the Mellin transform for the solution of the fractional order equations. The Mellin transform approach occurs in many areas of applied mathematics and technology.
Sunday Emmanuel Fadugba
doaj   +1 more source

Riemann–Liouville, Caputo, and Sequential Fractional Derivatives in Differential Games [PDF]

, 2010
There exists a number of definitions of the fractional order derivative. The classical one is the definition by Riemann–Liouville [26, 19, 23, 21]. The Riemann–Liouville fractional derivatives have a singularity at zero. That is why differential equations involving these derivatives require initial conditions of special form lacking clear physical ...
Arkadii Chikrii, Ivan Matychyn
openaire   +1 more source

Nonlinear sequential fractional differential equations with nonlocal boundary conditions

Advances in Difference Equations, 2017
This article develops the existence theory for sequential fractional differential equations involving Caputo fractional derivative of order 1 < α < 2 ...
Nazim I Mahmudov, Muath Awadalla, Kanda Abuassba   +2 more
doaj   +1 more source

Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions

Journal of Inequalities and Applications, 2019
We study the existence and uniqueness of solutions for coupled sequential fractional differential equations involving Caputo fractional derivative of order ...
Nazim I. Mahmudov, Areen Al-Khateeb
doaj   +1 more source

Undetermined Coefficients Method for Sequential Fractional Differential Equations

, 2023
The undetermined coefficients method is presented for nonhomogeneous sequential fractional differential equations involving Caputo fractional derivative of order nα where n ...
Sertaç ERMAN
core   +1 more source

Sequential space fractional diffusion equation's solutions via new inner product

, 2021
In this study, we determine the analytic solutions of sequential space fractional differential equations with Dirichlet boundary conditions and initial conditions in one dimension.
ÇETİNKAYA, SÜLEYMAN, DEMİR, ALİ
core   +1 more source