Results 101 to 110 of about 12,737 (208)

A Finite Element Method for the Fractional Sturm-Liouville Problem [PDF]

, 2013
In this work, we propose an efficient finite element method for solving fractional Sturm-Liouville problems involving either the Caputo or Riemann-Liouville derivative of order $\alpha\in(1,2)$ on the unit interval $(0,1)$.
Jin, Bangti, Lazarov, Raytcho, Pasciak, Joseph, Rundell, William   +3 more
core  

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

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

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

Some inequalities via \(\psi\)-Riemann-Liouville fractional integrals

AIMS Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naila Mehreen, Matloob Anwar
openaire   +2 more sources

Fractional fundamental lemma and fractional integration by parts formula -- Applications to critical points of Bolza functionals and to linear boundary value problems

, 2015
In the first part of the paper, we prove a fractional fundamental (du Bois-Reymond) lemma and a fractional variant of the integration by parts formula. The proof of the second result is based on an integral representation of functions possessing Riemann ...
Bourdin, Loïc, Idczak, Dariusz
core   +1 more source

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

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

Fractional Calculus for Type 2 Interval-Valued Functions

Fractal and Fractional
This paper presents a contemporary introduction of fractional calculus for Type 2 interval-valued functions. Type 2 interval uncertainty involves interval uncertainty with the goal of more assembled perception with reference to impreciseness.
Mostafijur Rahaman, Dimplekumar Chalishajar, Kamal Hossain Gazi, Shariful Alam, Soheil Salahshour, Sankar Prasad Mondal   +5 more
doaj   +1 more source

Some new k-Riemann-Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus μ≥0. [PDF]

J Inequal Appl, 2018
Nwaeze ER, Kermausuor S, Tameru AM.
europepmc   +1 more source