Results 31 to 40 of about 2,960 (186)

Existence and Uniqueness Results for the Coupled Pantograph System With Caputo Fractional Operator and Hadamard Integral

open access: yesInternational Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The main objective of this research involves studying a new novel coupled pantograph system with fractional operators together with nonlocal antiperiodic integral boundary conditions. The system consists of nonlinear pantograph fractional equations which integrate with Caputo fractional operators and Hadamard integrals.
Gunaseelan Mani   +4 more
wiley   +1 more source

Exact controllability of fractional neutral integro-differential systems with state-dependent delay in Banach spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (
Kailasavalli S.   +3 more
doaj   +1 more source

Boundary value problems for Caputo-Hadamard fractional differential inclusions with Integral Conditions

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
For r ∈ (1, 2], the authors establish sufficient conditions for the existence of solutions for a class of boundary value problem for rth order Caputo-Hadamard fractional differential inclusions satisfying nonlinear integral conditions.
Zahed Ahmed   +2 more
doaj   +1 more source

A certain class of fractional difference equations with damping: Oscillatory properties

open access: yesDemonstratio Mathematica, 2023
In this study, we have investigated the oscillatory properties of the following fractional difference equation: ∇α+1χ(κ)⋅∇αχ(κ)−p(κ)г(∇αχ(κ))+q(κ)G∑μ=κ−α+1∞(μ−κ−1)(−α)χ(μ)=0,{\nabla }^{\alpha +1}\chi \left(\kappa )\cdot {\nabla }^{\alpha }\chi \left ...
Arundhathi Sivakumar   +3 more
doaj   +1 more source

Analytical Solution of Fractional Order Mathematical Model in the Time of COVID-19 by Fractional Differential Transform Method

open access: yesINTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH
In this paper, we will discuss an analytical solution and numerical simulation of fractional order mathematical model on COVID-19 under Caputo sense with the help of fractional differential transform method for different values of q, where q ∈ (0,1]. The
A. D. Nagargoje, R. Teppawar
semanticscholar   +1 more source

Innovative Aspects of the Solvability of Multiterm Hybrid Functional Equations via Nonlocal Hybrid Conditions

open access: yesInternational Journal of Differential Equations, Volume 2025, Issue 1, 2025.
This paper explores the solvability of multiterm hybrid functional equations with multiple delays, addressing these equations under some nonlocal hybrid boundary conditions. By applying Schauder fixed‐point theorem, we establish the existence of continuous solutions and provide sufficient requirements for the continuous dependence of the unique ...
A. M. A. El-Sayed   +4 more
wiley   +1 more source

On the Kolmogorov forward equations within Caputo and Riemann-Liouville fractions derivatives

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this work, we focus on the fractional versions of the well-known Kolmogorov forward equations. We consider the problem in two cases. In case 1, we apply the left Caputo fractional derivatives for α ∈ (0, 1] and in case 2, we use the right Riemann ...
Alipour Mohsen, Baleanu Dumitru
doaj   +1 more source

On some properties of the conformable fractional derivative

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In this paper, we prove that the intermediate value theorem remains true for the conformable fractional derivative and we prove some useful results using the definition of conformable fractional derivative given in R. Khalil, M. Al Horani, A.
Azennar Radouane, Mentagui Driss
doaj   +1 more source

Some integral inequalities for generalized left and right log convex interval-valued functions based upon the pseudo-order relation

open access: yesDemonstratio Mathematica, 2022
It is a well-known fact that inclusion and pseudo-order relations are two different concepts which are defined on the interval spaces, and we can define different types of convexities with the help of both relations.
Khan Muhammad Bilal   +4 more
doaj   +1 more source

On Integral Means for Fractional Calculus Operators of Multivalent Functions [PDF]

open access: yes, 2006
2000 Mathematics Subject Classification: Primary 30C45, Secondary 26A33, 30C80Integral means inequalities are obtained for the fractional derivatives and the fractional integrals of multivalent functions.
Owa, Shigeyoshi   +2 more
core  

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