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Henstock–Kurzweil Vector Distributions
In this paper, we find the completion of the space of Henstock (respectively, Kurzweil) integrable vector-valued functions. Also we establish some...
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The origin and developments of Kurzweil’s generalized Riemann integral
The paper describes to origin and motivation of Kurzweil in introducing a Riemann-type definition for generalized Perron integrals and his further...
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Oscillatory solutions of differential equations with several discrete delays and generalized ODEs
The study of models which deal with oscillating functions is of great importance in Physics and other sciences. In this work, we are interested in...
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On approximate controllability of multi-term time fractional measure differential equations with nonlocal conditions
The purpose of this paper is to investigate the existence of mild solutions and approximate controllability of a class of multi-term time-fractional...
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Existence of mild solutions for multi-term time fractional measure differential equations
This paper focuses on a class of multi-term time-fractional measure differential equations involving nonlocal conditions. A set of sufficient...
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Vector-valued McShane and strong McShane integrals with the Alexiewicz norm and its Riesz representation theorems
This article discusses McShane and strong McShane integration theory in the class of vector-valued functions endowed with the Alexiewicz norm, their...
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Measure Differential Equations with a General Nonlocal Condition
This paper is devoted to study the existence of solutions for a class of measure differential equations –abbreviated, MDEs– with a general nonlocal...
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On the lack of equivalence between differential and integral forms of the Caputo-type fractional problems
In this pages, we discuss the problem of equivalence between fractional differential and integral problems. Although the said problem was studied for...
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Modeling the linear drag on falling balls via interactive fuzzy initial value problem
In this paper, we consider the linear drag of a falling ball, which can be well described using an interactive fuzzy initial value problem. The...
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Vector-valued functions on time scales and random differential equations
In this article, we first present the construction and basic properties of the Bochner integral for vector-valued functions on an arbitrary time...
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Solving interactive fuzzy initial value problem via fuzzy Laplace transform
In this work, we present some properties of the fuzzy Laplace transform with the notion of linearly correlated differentiability also called L -differe...
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Compactness
In this chapter, we discuss compactness, its characterizations, and its relationship with continuity. We start with a basic introduction to compact...
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Homotopy analysis Shehu transform method for solving fuzzy differential equations of fractional and integer order derivatives
In this paper, we propose the fuzzy Shehu transform method (FSTM) using Zadeh’s decomposition theorem and fuzzy Riemann integral of real-valued...
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Multi-integrals of finite variation
The aim of this paper is to investigate different types of multi-integrals of finite variation and to obtain decomposition results.
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Continuous Dependence of Fuzzy Mild Solutions on Parameters for IVP of Fractional Fuzzy Evolution Equations
In this article, we are concerned with the VIP of fractional fuzzy evolution equations in the space of triangular fuzzy numbers. The continuous...
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Some new results on integration for multifunction
It has been proven in Di Piazza and Musiał (Set Valued Anal 13:167–179,
2005 , Vector measures, integration and related topics, Birkhauser Verlag,...