Results 61 to 70 of about 8,512 (209)

New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals

Boundary Value Problems
In the current research, some midpoint-type inequalities are generalized for co-ordinated convex functions with the help of generalized conformable fractional integrals.
Mehmet Eyüp Kiriş, Miguel Vivas-Cortez, Tuğba Yalçin Uzun, Gözde Bayrak, Hüseyin Budak   +4 more
doaj   +1 more source

On Multiple Positive Solutions for Singular Fractional Boundary Value Problems with Riemann-Stieltjes Integrals

Journal of Function Spaces, 2023
In this paper, the existence result of at least two positive solutions is obtained for a nonlinear Riemann-Liouville fractional differential equation subject to nonlocal boundary conditions, where fractional derivatives and Riemann-Stieltjes integrals ...
Lufeng Gu, Qiuyan Zhong, Zhuyan Shao
doaj   +1 more source

Time-Fractional Optimal Control of Initial Value Problems on Time Scales

, 2019
We investigate Optimal Control Problems (OCP) for fractional systems involving fractional-time derivatives on time scales. The fractional-time derivatives and integrals are considered, on time scales, in the Riemann--Liouville sense.
A Ahmadkhanlu, A Cabada, AB Malinowska, B Bayour, Benaoumeur Bayour, Benaoumeur Bayour, D Baleanu, D Baleanu, D Idczak, D Mozyrska, E Hernández, EG Bajlekova, ER Nwaeze, G Mophou, GM Bahaa, GM Mophou, GSF Frederico, GSF Frederico, I Podlubny, K Mekhalfi, L Bourdin, M Bohner, M Bohner, MC Caputo, Monika Dryl, Moulay Rchid Sidi Ammi, Moulay Rchid Sidi Ammi, N Benkhettou, N Benkhettou, N Benkhettou, N Benkhettou, N Özdemir, NRO Bastos, NRO Bastos, NRO Bastos, O Lavrova, OP Agrawal, OP Agrawal, R Almeida, RP Agarwal, RP Agarwal, S Abbas, T Abdeljawad, Thabet Abdeljawad   +43 more
core   +1 more source

New Approach to Weighted Newton‐Type Inequalities Using Riemann–Liouville Fractional Integrals

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this investigation paper, we present some weighted inequalities Newton‐type for various classes of functions utilizing Riemann–Liouville fractional integrals. The study begins by introducing a positive weighted function to derive a key integral equality essential for proving the main results.
Rubayyi T. Alqahtani, Hüseyin Budak
wiley   +1 more source

On multiplicative conformable fractional integrals: theory and applications

Boundary Value Problems
In this paper, we first introduce the multiplicative conformable left and right fractional integrals, followed by the derivation of key properties, such as integrability, boundedness, continuity, and the semi-group property, for the newly defined ...
Hüseyin Budak, Büşra Betül Ergün
doaj   +1 more source

Fractional Integration of the Product of Bessel Functions of the First Kind [PDF]

, 2010
Dedicated to 75th birthday of Prof. A.M. Mathai, Mathematical Subject Classification 2010:26A33, 33C10, 33C20, 33C50, 33C60, 26A09Two integral transforms involving the Gauss-hypergeometric function in the kernels are considered.
Kilbas, Anatoly, Sebastian, Nicy
core  

Mellin Transforms of the Generalized Fractional Integrals and Derivatives

, 2014
We obtain the Mellin transforms of the generalized fractional integrals and derivatives that generalize the Riemann-Liouville and the Hadamard fractional integrals and derivatives.
Bucchianico, Butkovskii, Butzer, Butzer, Butzer, Butzer, Bóna, Erdélyi, Erdélyi, Flajolet, Gaboury, Goldman, Hadamard, Herrmann, Katugampola, Katugampola, Kilbas, Kilbas, Kilbas, Kilbas, Kiryakova, Machado, Miller, Noor, Noor, Noor, Odzijewicz, Odzijewicz, Odzijewicz, Oldham, Podlubny, Pooseh, Robbins, Robinson, Rodrigues, Roman, Roman, Roman, Rota, Rota, Samko, Udita N. Katugampola, Yakubovich   +42 more
core   +1 more source

Non-asymptotic fractional order differentiators via an algebraic parametric method [PDF]

, 2012
Recently, Mboup, Join and Fliess [27], [28] introduced non-asymptotic integer order differentiators by using an algebraic parametric estimation method [7], [8].
Gibaru, Olivier, Liu, Dayan, Perruquetti, Wilfrid   +2 more
core   +5 more sources

Fractional Integral Inequalities of Riemann–Liouville Type for Higher‐Order Differentiable Convex Mappings

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we investigate several Riemann–Liouville fractional integral inequalities for higher‐order differentiable functions using a simple and novel approach. First, we present an inequality involving fractional integrals that generalizes the right‐hand side of the fundamental Hermite–Hadamard inequality to higher‐order derivatives ...
Samet Erden, Hüseyin Budak
wiley   +1 more source

Generalized Fractional Integral Inequalities of σ-Convex Functions

Journal of Mathematics
In this paper, we prove generalized fractional integral inequalities of Hermite–Hadamard–type with respect to a monotone function for σ-convex functions on account of the Riemann–Liouville fractional integral.
Shweta Lather, Harish Nagar
doaj   +1 more source