Results 11 to 20 of about 381 (137)
New Integral Inequalities Involving Generalized Riemann-Liouville Fractional Operators
In this paper, using a generalized operator of the Riemann-Liouville type, defined and studied in a previous work, several integral inequalities for synchronous functions are established. Mathematics Subject Classification (2010): 26A33, 26D10, 47A63.
NÁPOLES VALDES, Juan Eduardo +2 more
core +1 more source
Hermite-Hadamard type inequalities for product of GA-convex functions via Hadamard fractional integrals [PDF]
In this paper, some Hermite-Hadamard type inequalities for products of two GA-convex functions via Hadamard fractional integrals are established. Our results about GA-convex functions are analogous generalizations for some other results proved by ...
KUNT, Mehmet, İȘCAN, İmdat
core +1 more source
Wirtinger type inequalities via fractional integral operators
In this study, we shall present Wirtinger type inequality in the fractional case with conformable fractional operators.
ASLIYÜCE, Serkan
core +1 more source
Existence and Ulam stability for nonlinear implicit fractional differential equations with Hadamard derivative [PDF]
The purpose of this paper is to establish some types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit Hadamard fractional-order ...
BENCHOHRA, Mouffak, LAZREG, Jamal E.
core +1 more source
Calculus of variations with fractional derivatives and fractional
: We prove Euler-Lagrange fractional equations and sufficient optimality conditions for problems of the calculus of variations with functionals containing both fractional derivatives and fractional integrals in the sense of Riemann-Liouville. Mathematics
Torres, F M Delfim, Ricardo Almeida
core +1 more source
This article investigates the existence, uniqueness, and stability of solutions for a class of nonlinear fractional integrodifferential equations (NLFIDEs) with nonlocal boundary conditions in Banach algebras. By employing advanced analytical techniques within the Banach algebra framework, we rigorously establish existence and uniqueness results and ...
Yahia Awad +4 more
wiley +1 more source
Strict LpSolutions for Nonautonomous Fractional Evolution Equations [PDF]
MSC 2010: 26A33, 34A08 ...
Bazhlekova, Emilia
core
Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions [PDF]
This article investigates a boundary value problem of Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions.
Juan J Nieto +3 more
core +1 more source
Nonlinear dispersion phenomena in liquid media often lead to the formation of localized structures such as compact wave packets and dispersion drops. The present investigation demonstrates that the proposed analytical framework yields accurate approximate solutions, successfully captures compacton‐like structures, and clearly reveals the critical ...
Yogeshwari F. Patel +3 more
wiley +1 more source
FRACTIONAL CALCULUS APPROACH IN RLCCIRCUIT USING HYPERGEOMETRIC SERIES
In this paper, fractional calculus approach is applied in solving differential equationwhich is associated with an electrical circuit i.e. RLC circuit using hypergeometric series.The solution of the fractional differential equation of RLC circuit comes ...
Sushil Kumar Dhaneliya, Manoj Sharma
core +1 more source

