Results 11 to 20 of about 176 (63)

Monotone and convex H*‐algebra valued functions

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 473-479, 1996., 1995
Classical theorems about monotone and convex functions are generalized to the case of H*‐algebra valued functions. Also there are new examples of a vector measure.
Parfeny P. Saworotnow
wiley   +1 more source

On the positivity of Riemann-Stieltjes integrals [PDF]

, 2012
Correction: DOI:10.1017/S0004972713000713We study the question, whether a Riemann-Stieltjes integral of a positive continuous function with respect to a non-negative function of bounded variation is positive.Peer ...
Lukkarinen, Jani, S. Pakkanen, Mikko
core   +2 more sources

The analytical solution of Van der Pol and Lienard differential equations within conformable fractional operator by retarded integral inequalities

Demonstratio Mathematica, 2019
In this study we introduced and tested retarded conformable fractional integral inequalities utilizing non-integer order derivatives and integrals. In line with this purpose, we used the Katugampola type conformable fractional calculus which has several ...
Usta Fuat, Sarıkaya Mehmet Zeki
doaj   +1 more source

Weak Solutions of Fractional Order Differential Equations via Volterra-Stieltjes Integral Operator

, 2017
The fractional derivative of the Riemann-Liouville and Caputo types played an important role in the development of the theory of fractional derivatives, integrals and for its applications in pure mathematics ([18], [21]).
A. El-Sayed, W. El-Sayed, A. El-Mowla
semanticscholar   +1 more source

ON THE VOLTERRA-STIELTJES INTEGRAL EQUATION AND AXIOMATIC MEASURES OF WEAK NONCOMPACTNESS

International Journal of Apllied Mathematics, 2019
In this note, we will use a compactness type condition in connection with the weak topology to prove the existence of weakly continuous solutions for a functional integral equation of Volterra-Stieltjes type in nonreflexive Banach spaces.
A.A.H. Abd El-Mwla
semanticscholar   +1 more source

A tree approach to $p$-variation and to integration [PDF]

, 2008
We consider a real-valued path; it is possible to associate a tree to this path, and we explore the relations between the tree, the properties of $p$-variation of the path, and integration with respect to the path. In particular, the fractal dimension of
Picard, Jean
core   +8 more sources

Mild solutions of fractional evolution equations on an unbounded interval

Advances in Differential Equations, 2014
This paper is concerned with the existence results for mild solutions of semilinear fractional evolution equations on an unbounded interval. The methods used in the paper are based on the concept of measure of noncompactness in Fréchet space and ...
Zufeng Zhang, Qun Ning, Hongyan Wang
semanticscholar   +1 more source

On a fractional integro-differential inclusion [PDF]

, 2014
We study a Cauchy problem for a fractional integro-differential inclusion of order $\alpha \in (1,2]$ involving a nonconvex set-valued map. Arcwise connectedness of the solution set is provided.
Cernea, A.
core   +2 more sources

ON THE WEAK SOLUTIONS OF THE URYSOHN-STIELTJES FUNCTIONAL INTEGRAL EQUATIONS

, 2018
The analysis of Urysohn-Stieltjes integral operators has been studied in [1]. Here we study the existence of weakly solution of functional integral equations of Urysohn-Stieltjes type and Hammerstien-Stieltjes type in the reflexive Banach space E.
A. El-Sayed, M. M. Al-Fadel
semanticscholar   +1 more source

Existence and multiplicity results for a class of fractional differential inclusions with boundary conditions

Boundary Value Problems, 2012
In this paper, we study the existence and multiplicity results of solutions for some class of fractional differential inclusions with boundary conditions.
Peng Zhang, Yanping Gong
semanticscholar   +1 more source