Results 71 to 80 of about 1,528 (178)

A New Inclusion on Inequalities of the Hermite–Hadamard–Mercer Type for Three-Times Differentiable Functions

Mathematics
The goal of this study is to develop numerous Hermite–Hadamard–Mercer (H–H–M)-type inequalities involving various fractional integral operators, including classical, Riemann–Liouville (R.L), k-Riemann–Liouville (k-R.L), and their generalized fractional ...
Talib Hussain, Loredana Ciurdariu, Eugenia Grecu   +2 more
doaj   +1 more source

Unique Existence Result of Approximate Solution to Initial Value Problem for Fractional Differential Equation of Variable Order Involving the Derivative Arguments on the Half-Axis

Mathematics, 2019
The semigroup properties of the Riemann–Liouville fractional integral have played a key role in dealing with the existence of solutions to differential equations of fractional order.
Shuqin Zhang, Lei Hu
doaj   +1 more source

General (k, p)-Riemann-Liouville fractional integrals

Filomat
The main motivation of this study is to establish a general version of the Riemann-Liouville fractional integrals with two exponential parameters k and p which is determined over the (k, p)-gamma function. In particular, we present the harmonic, geometric and arithmetic (k, p)-Riemann-Liouville frac-tional integrals.
Budak, HÜSEYİN, Benaissa, Bouharket
openaire   +2 more sources

On Solution Representation of Generalized Abel Integral Equation

Journal of Mathematics, 2013
An explicit representation for solution of the generalized Abel integral equation , where is the Riemann-Liouville fractional integral, in terms of the Wright function, is constructed.
Arsen Pskhu
doaj   +1 more source

Inequalities generated with Riemann-Liouville fractional integral operator

, 2019
Selected papers of International Conference on Life and Engineering Sciences (ICOLES 2018), Kyrenia, Cyprus, 2-6 September, 2018. The primary objective of this study is to handle new generalized midpoint, trapezoid and Simpson’s type inequalities with the help of Riemann-Liouville fractional integral operator.
Gurbuz, M., Ozturk, O.
openaire   +6 more sources

Asymptotic Expansions of Fractional Derivatives andTheir Applications

Mathematics, 2015
We compare the Riemann–Liouville fractional integral (fI) of a function f(z)with the Liouville fI of the same function and show that there are cases in which theasymptotic expansion of the former is obtained from those of the latter and the differenceof ...
Tohru Morita, Ken-ichi Sato
doaj   +1 more source

Intuitionistic Fuzzy Riemann-Liouville and Hadamard Fractional ⊗Integrals

Earthline Journal of Mathematical Sciences
In this study, we introduce intuitionistic fuzzy Riemann-Liouville and Hadamard fractional ⊗integrals of intuitionistic fuzzy valued functions and obtain some of their basic properties. We also give some examples to illustrate the obtained results.
openaire   +1 more source

Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model

Abstract and Applied Analysis, 2013
We study the existence and uniqueness of the positive solution for the fractional differential system involving the Riemann-Stieltjes integral boundary conditions , , , , , and , where , , and and are the standard Riemann-Liouville derivatives, and ...
Rui Li, Haoqian Zhang, Hao Tao
doaj   +1 more source

Some post quantum Milne type inequalities with simulation

Ain Shams Engineering Journal
Post quantum Milne-type inequalities involving the Riemann-Liouville fractional integral offer mathematical frameworks for evaluating and bounding quantum states and for addressing modern challenges in applied mathematics and physics.
Sobia Rafeeq, Sabir Hussain, Yuanheng Wang   +2 more
doaj   +1 more source

Some Nonlinear Gronwall-Bellman-Gamidov Integral Inequalities and Their Weakly Singular Analogues with Applications

Abstract and Applied Analysis, 2014
Some Gronwall-Bellman-Gamidov type integral inequalities with power nonlinearity and their weakly singular analogues are established, which can give the explicit bound on solution of a class of nonlinear fractional integral equations.
Kelong Cheng, Chunxiang Guo, Min Tang
doaj   +1 more source