Results 81 to 90 of about 463 (144)

Existence of Positive Solutions for a Nonlinear Iterative System of Boundary Value Problems with Tempered Fractional Order Derivative

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This paper investigates the existence of positive solutions for an iterative system of nonlinear two‐point tempered fractional boundary value problem. Utilizing Krasnoselskii’s fixed point theorem in a cone, we establish criteria for the existence of positive solutions.
Sabbavarapu Nageswara Rao, Mahammad Khuddush, Abdullah Ali H. Ahmadini, Çetin Yildiz   +3 more
wiley   +1 more source

$\psi$–Katugampola Fractional Derivatives and Integrals-Application to Mass–Spring Damper System [PDF]

, 2020
We propose a new type of generalized fractional derivatives with respect to (wrt) another function. These new generalized fractional derivatives generalize $\psi$–Caputo, Riemann–Liouville (R–L) wrt another function, Caputo Hadamard wrt another function, R–L Hadamard wrt another function, Caputo, R–L, Caputo Hadamard and R–L Hadamard fractional ...
Ramazan OZARSLAN, Yadigar Sekerci, Erdal BAS   +2 more
openaire   +1 more source

Basic Theory for Differential Equations with Unified Reimann-Liouville and Hadamard Type Fractional Derivatives

International Journal of Analysis and Applications, 2017
In this paper, we extend the definition of the fractional integral and derivative introduced in [Appl. Math. Comput. 218 (2011)] by Katugampola, which exhibits nice properties only for numbers whose real parts lie in [0,1].
Basak Karpuz, Umut M. Ozkan, Tugba Yalcin, Mustafa K. Yildiz   +3 more
doaj   +2 more sources

Fractional Pseudospectral Schemes With Applications to Fractional Optimal Control Problems

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This research endeavors to introduce novel fractional pseudospectral methodologies tailored for addressing fractional optimal control problems encompassing inequality constraints and boundary conditions. Leveraging fractional Lagrange interpolation functions, we formulate differential and integral pseudospectral matrices pivotal in discretizing ...
M. Sahabi, A. Yazdani Cherati, Xian-Ming Gu   +2 more
wiley   +1 more source

A Generalized Fractional Calculus of Variations

, 2013
We study incommensurate fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives and generalized fractional integrals and derivatives.
Malinowska, Agnieszka B., Odzijewicz, Tatiana, Torres, Delfim F. M.   +2 more
core  

Numerical solution of fractional elliptic PDE\u27s by the collocation method [PDF]

, 2017
In this presentation a numerical solution for the solution of fractional order of elliptic partial differential equation in R2 is proposed. In this method we use the Radial basis functions (RBFs) method to benefit the desired properties of mesh free ...
Usta, Fuat
core   +1 more source

Generalized Hermite-Hadamard Type Inequalities Related to Katugampola Fractional Integrals

OALib, 2020
In this paper, we have established a new identity related to Katugampola fractional integrals which generalize the results given by Topul et al. and Sarikaya and Budak. To obtain our main results, we assume that the absolute value of the derivative of the considered function φ' is p-convex.
openaire   +1 more source

The Generalized Fractional Calculus of Variations

, 2014
We review the recent generalized fractional calculus of variations. We consider variational problems containing generalized fractional integrals and derivatives and study them using indirect methods.
Odzijewicz, Tatiana, Torres, Delfim F. M.   +1 more
core  

Some new inequalities involving the Katugampola fractional integrals for strongly $\eta$-convex functions

Tbilisi Mathematical Journal, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kermausuor, Seth, Nwaeze, Eze R.
openaire   +2 more sources

Incremental parameterized-kernel fractional operators: theory, novel Banach spaces, and machine learning applications

Ain Shams Engineering Journal
This paper presents a new class of Incremental Parameterized–Kernel (IPK) fractional derivative and integral operators that improve modeling of complex dynamical systems.
Tahir Ullah Khan, Christine Markarian
doaj   +1 more source