Results 71 to 80 of about 488 (166)

Controllability problem for fractional impulsive integrodifferential evolution systems of mixed type with the measure of noncompactness

Results in Nonlinear Analysis, 2020
We consider the controllability problem for a class of fractional impulsive evolution systems of mixed type in an infinite dimensional Banach space. The existence of mild solutions and controllability results are discussed by a new estimation technique
Duraisamy Senthil Raja, Ponnusamy Sundararajan, Kulandhaivel Karthikeyan
doaj  

Existence of solutions for some classes of integro-differential equations via measure of noncompactness

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In this present paper, we introduce a new measure of noncompactness on the space consisting of all real functions which are $n$ times bounded and continuously differentiable on $\mathbb{R}_+$.
Reza Allahyari, Reza Arab, Ali Shole Haghighi   +2 more
doaj   +1 more source

Spatial dynamics of a viral infection model with immune response and nonlinear incidence. [PDF]

Z Angew Math Phys, 2023
Zheng T, Luo Y, Teng Z.
europepmc   +1 more source

Existence of Weak Solutions for Fractional Integrodifferential Equations with Multipoint Boundary Conditions

International Journal of Differential Equations, 2018
By combining the techniques of fractional calculus with measure of weak noncompactness and fixed point theorem, we establish the existence of weak solutions of multipoint boundary value problem for fractional integrodifferential equations.
Haide Gou, Baolin Li
doaj   +1 more source

Fractional dynamic system simulating the growth of microbe. [PDF]

Adv Differ Equ, 2021
Hadid SB, Ibrahim RW.
europepmc   +1 more source

On the Hausdorff measure of noncompactness for the parameterized Prokhorov metric

Journal of Inequalities and Applications, 2016
We quantify the Prokhorov theorem by establishing an explicit formula for the Hausdorff measure of noncompactness (HMNC) for the parameterized Prokhorov metric on the set of Borel probability measures on a Polish space.
Ben Berckmoes
doaj   +1 more source

Analysis of mathematical model involving nonlinear systems of Caputo-Fabrizio fractional differential equation. [PDF]

Bound Value Probl, 2023
Kebede SG, Lakoud AG.
europepmc   +1 more source

Existence Results for an Impulsive Neutral Fractional Integrodifferential Equation with Infinite Delay

International Journal of Differential Equations, 2014
We consider an impulsive neutral fractional integrodifferential equation with infinite delay in an arbitrary Banach space X. The existence of mild solution is established by using solution operator and Hausdorff measure of noncompactness.
Alka Chadha, Dwijendra N. Pandey
doaj   +1 more source

Cauchy problems for functional evolution inclusions involving accretive operators

Electronic Journal of Qualitative Theory of Differential Equations, 2013
We study the existence and stability of solutions for a class of nonlinear functional evolution inclusions involving accretive operators. Our approach is employing the fixed point theory for multivalued maps and using estimates via the Hausdorff measure ...
Tran Ke
doaj   +1 more source

On solvability of the impulsive Cauchy problem for integro-differential inclusions with non-densely defined operators. [PDF]

Philos Trans A Math Phys Eng Sci, 2021
Benedetti I, Obukhovskii V, Taddei V.
europepmc   +1 more source