Results 31 to 40 of about 397,746 (163)

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

open access: yes, 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   +2 more
core   +1 more source

New integral inequalities for s-convex functions of the second sense via the caputo fractional derivative and the caputo–fabrizio integral operator

open access: yes, 2023
Various integral inequalities for s-convex functions in the second sense are obtained by means of the Caputo fractional derivative and the Caputo–Fabrizio integral operator.
Yeşi̇lce Işık, İlknur   +3 more
core   +1 more source

Regional gradient controllability of ultra-slow diffusions involving the Hadamard-Caputo time fractional derivative [PDF]

open access: yes, 2020
This paper investigates the regional gradient controllability for ultra-slow diffusion processes governed by the time fractional diffusion systems with a Hadamard-Caputo time fractional derivative.
Kou, Chunhai   +3 more
core   +1 more source

Numerical methods for fractional differential equations by new caputo and hadamard types operators [PDF]

open access: yes, 2020
Fractional ordinary differential equation (FODE) and fractional partial differential equation (FPDE) emerges in various modelling of physics phenomena. Over past decades, several fractional derivative and operator has been introduced such as Caputo-
Toh, Yoke Teng
core   +1 more source

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

open access: yesJournal 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

On Hermite-Hadamard type Inequalities for Proportional Caputo-Hybrid Operator [PDF]

open access: yes, 2023
In this study, we present a new generalization of the Hermite-Hadamard type inequalities for convex functions via proportional Caputo-hybrid operator.
Sarıkaya, Mehmet Zeki
core   +3 more sources

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

open access: yesMathematics 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

Fractional variational problems depending on indefinite integrals [PDF]

open access: yes, 2012
We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor   +8 more
core   +1 more source

Lyapunov Direct Method for Nonlinear Hadamard-Type Fractional Order Systems

open access: yesFractal and Fractional, 2022
In this paper, a rigorous Lyapunov direct method (LDM) is proposed to analyze the stability of fractional non-linear systems involving Hadamard or Caputo–Hadamard derivatives.
Changping Dai, Weiyuan Ma
doaj   +1 more source

Composition of Fractional Integral and Derivative Operators: Summarised in Tables

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14682-14696, 15 September 2026.
ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
wiley   +1 more source

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