Results 31 to 40 of about 397,746 (163)
Boundary value problems for Caputo-Hadamard fractional differential inclusions in Banach spaces [PDF]
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
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]
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]
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
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]
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]
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]
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
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Lyapunov Direct Method for Nonlinear Hadamard-Type Fractional Order Systems
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
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

