On the solvability of a nonlinear functional integral equations via measure of noncompactness in

Using the technique of a suitable measure of non-compactness and the Darbo fixed point theorem, we investigate the existence of a nonlinear functional integral equation of Urysohn type in the space of Lebesgue integrable functions Lp(RN). In this space, we show that our functional-integral equation has at least one solution. Finally, an example is also discussed to indicate the natural realizations of our abstract result

On the distance between two Chebyshev sets in Banach spaces

The paper answers a question concerning the distance between two Chebyshev sets in some Banach spaces

On a Boundary Value Problem of Hybrid Functional Differential Inclusion with Nonlocal Integral Condition

In this work, we present a boundary value problem of hybrid functional differential inclusion with nonlocal condition. The boundary conditions of integral and infinite points will be deduced. The existence of solutions and its maximal and minimal will be proved. A sufficient condition for uniqueness of the solution is given. The continuous dependence of the unique solution will be studied

Initial Value Problem for Stochastic Hyprid Hadamard Fractional Differential Equation: Hyprid Hadamard

In this paper, we discuss the existence of solutions for a stochastic initial value problem of Hyprid fractional dierential equations of Hadamard type given by                            where HD is the Hadamard fractional derivative, and is the Hadamard fractional integral and be such that are investigated. The fractional calculus and stochastic analysis techniques are used to obtain the required results.&nbsp

On the solvability of a functional Volterra integral equation

In this article, we will investigate the existence of a unique bounded variation solution for a functional integral equation of Volterra type in the space L1(R+) of Lebesgue integrable functions

On the existence of a bounded variation solution of a fractional integral equation in L1[0, T] due to the spread of COVID 19

In this article, we will investigate the existence and uniqueness of a bounded variation solution for a fractional integral equation in the space L1[0, T] of Lebesgue integrable functions