Results 91 to 100 of about 623 (167)

Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral

Revista Integración, 2018
In this work we present some Hermite-Hadamard type inequalities for convex Stochastic Processes using the Katugampola fractional integral, and from these results specific cases are deduced for the Riemann-Liouville fractional integral and Riemann ...
Jorge E. Hernández H., Juan Francisco Gómez   +1 more
doaj  

Chebyshev type inequalities involving generalized Katugampola fractional integral operators

Tamkang Journal of Mathematics, 2019
A number of Chebyshev type inequalities involving various fractional integral operators have, recently, been presented.Here, motivated essentially by the earlier works and their applications in diverse research subjects, we aim to establish several Chebyshev type inequalities involving generalized Katugampola fractional integral operator.
Erhan Set, Junesang Choi, \.{I}lker Mumcu   +2 more
openaire   +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  

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

$\psi$–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

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  

Inequalities Involving Multiplicative Katugampola Fractional Integrals

International Journal of Applied Mathematics
This paper introduces a new class of multi-parameter integral inequalities within the framework of multiplicative Katugampola fractional operator. By establishing parameter-dependent integral identities, several generalized forms of classical inequalities are derived for functions satisfying various convexity conditions.
openaire   +1 more source

Extension of Hermite-Hadamard type inequalities to Katugampola fractional integrals

International Journal of Advances in Applied Sciences
In this study, we introduce several new Hermite-Hadamard type general integral inequalities for exponentially (s,m)-convex functions via Katugampola fractional integral. The Katugampola fractional integral is a broader form of the Riemann–Liouville and Hadamard fractional integrals. We utilized the power mean integral inequality, the H¨older inequality
Dipak Kr Das, Shashi Kant Mishra, Pankaj Kumar, Abdelouahed Hamdi   +3 more
openaire   +1 more source

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

Tbilisi Mathematical Journal, 2019
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Kermausuor, Seth, Nwaeze, Eze R.
openaire   +2 more sources

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