Results 31 to 40 of about 377,360 (199)

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

Mathematical 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. The existence of solutions for this nonlinear boundary value problem is theoretically investigated based on the ...
Ahmed Salem, Noorah Mshary, Moustafa El-Shahed, Faris Alzahrani   +3 more
openaire   +1 more source

Boundary value problems for Caputo-Hadamard fractional differential inclusions in Banach spaces [PDF]

, 2022
summary:In this article, we study the existence of solutions in a Banach space of boundary value problems for Caputo-Hadamard fractional differential inclusions of order $r \in (0,1]$
Hammou, Amouria, Henderson, Johnny, Hamani, Samira   +2 more
core   +1 more source

Numerical Methods for Caputo–Hadamard Fractional Differential Equations with Graded and Non-Uniform Meshes

, 2021
We consider the predictor-corrector numerical methods for solving Caputo–Hadamard fractional differential equations with the graded meshes logtj=loga+logtNajNr,j=0,1,2,…,N with a≥1 and r≥1, where loga=logt0logt1⋯logtN=logT is a partition of [logt0,logT].
Yubin Yan, Charles Wing Ho Green, Yanzhi Liu   +2 more
core   +1 more source

The General Solution of Differential Equations with Caputo-Hadamard Fractional Derivatives and Noninstantaneous Impulses

Advances in Mathematical Physics, 2017
Based on some recent works about the general solution of fractional differential equations with instantaneous impulses, a Caputo-Hadamard fractional differential equation with noninstantaneous impulses is studied in this paper. An equivalent integral equation with some undetermined constants is obtained for this fractional order system with ...
Xianzhen Zhang, Zuohua Liu, Hui Peng, Xianmin Zhang, Shiyong Yang   +4 more
openaire   +2 more sources

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

Filomat, 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, Samira Hamani, Johnny Henderson   +2 more
openaire   +1 more source

Variational Problems Involving a Caputo-Type Fractional Derivative [PDF]

, 2017
We study calculus of variations problems, where the Lagrange function depends on the Caputo-Katugampola fractional derivative. This type of fractional operator is a generalization of the Caputo and the Caputo–Hadamard fractional derivatives, with ...
Almeida, Ricardo
core   +1 more source

Multiterm Impulsive Caputo–Hadamard Type Differential Equations of Fractional Variable Order

Axioms, 2022
In this study, we deal with an impulsive boundary value problem (BVP) for differential equations of variable fractional order involving the Caputo–Hadamard fractional derivative.
Amar Benkerrouche, Mohammed Said Souid, Gani Stamov, Ivanka Stamova   +3 more
doaj   +1 more source

Solving Coupled Impulsive Fractional Differential Equations With Caputo-Hadamard Derivatives in Phase Spaces

International Journal of Analysis and Applications, 2023
In this manuscript, we incorporate Caputo-Hadamard derivatives in impulsive fractional differential equations to obtain a new class of impulsive fractional form. Further, the existence of solutions to the proposed problem has been inferred under a state-dependent delay and suitable hypotheses in phase spaces.
Hasanen A. Hammad, Hassen Aydi, Doha A. Kattan   +2 more
openaire   +2 more sources

Applications of Fixed Point Theory to Investigate a System of Fractional Order Differential Equations

Journal of Function Spaces, 2021
We investigate a nonlinear system of pantograph-type fractional differential equations (FDEs) via Caputo-Hadamard derivative (CHD). We establish the conditions for existence theory and Ulam-Hyers-type stability for the underlying boundary value system ...
Zareen A. Khan, Israr Ahmad, Kamal Shah
doaj   +1 more source

New study on Caputo-Hadamard type fractional Neutral Integro-Differential equations [PDF]

Mathematics and Computational Sciences
In this work, we focus on the analysis of fractional-order neutral integro-differential equations using the Caputo-Hadamard fractional derivative. We employed the topological degree method (TDM) to derive results and solutions for these equations.
Emimal Navajothi, Selvi Sellappan
doaj   +1 more source