scholarly journals Existence of solutions for a class of multivalued functional integral equations of Volterra type via the measure of nonequicontinuity on the Fréchet space C(Ω,E)

2020 ◽  
Vol 380 ◽  
pp. 112970
Author(s):  
Radosław Pietkun
Keyword(s):  
Integral Equations ◽  
Existence Of Solutions ◽  
Functional Integral ◽  
Fréchet Space ◽  
Frechet Space ◽  
Volterra Type ◽  
Multivalued Functional ◽  
Functional Integral Equations

scholarly journals Global attractivity for Volterra type Hadamard fractional integral equations in Fréchet spaces

2018 ◽  
Vol 51 (1) ◽  
pp. 131-140
Author(s):  
Saïd Abbas ◽  
Ravi P. Agarwal ◽  
Mouffak Benchohra ◽  
Farida Berhoun
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Integral Equations ◽  
Fractional Integral ◽  
Global Attractivity ◽  
Functional Integral ◽  
Fréchet Spaces ◽  
Volterra Type ◽  
Functional Integral Equations ◽  
Hadamard Fractional Integral

Abstract In this paper, we present some results concerning the existence and the attractivity of solutions for some functional integral equations of Hadamard fractional order. We use an extension of the Burton-Kirk fixed point theorem in Fréchet spaces.

scholarly journals Further results on the existence of solutions for generalized fractional quadratic functional integral equations

2020 ◽  
Vol 1 (1) ◽  
pp. 33-46
Author(s):  
Mohammed S. Abdo
Keyword(s):  
Integral Equations ◽  
Existence Of Solutions ◽  
Continuous Solution ◽  
Functional Integral ◽  
Existence Results ◽  
Quadratic Functional ◽  
Nonlinear Functional Analysis ◽  
Nonlinear Functional ◽  
Special Cases ◽  
Functional Integral Equations

This paper discusses some existence results for at least one continuous solution for generalized fractional quadratic functional integral equations. Some results on nonlinear functional analysis including Schauder fixed point theorem are applied to establish the existence result for proposed equations. We improve and extend the literature by incorporated some well-known and commonly cited results as special cases in this topic. Further, we prove the existence of maximal and minimal solutions for these equations.

scholarly journals On the solvability of some nonlinear functional integral equations on Lp(R+)

Filomat ◽  
2021 ◽  
Vol 35 (6) ◽  
pp. 1841-1850
Author(s):  
Mahmoud Bousselsal
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Integral Equations ◽  
Measure Of Noncompactness ◽  
Existence Of Solutions ◽  
Functional Integral ◽  
Basic Tool ◽  
Nonlinear Functional ◽  
The Fixed Point Theorem ◽  
Functional Integral Equations

In this paper, we prove theorems on the existence of solutions in Lp(R+), 1 ? p < ?, for some functional integral equations. The basic tool used in the proof is the fixed point theorem due to Darbo with respect to so called measure of noncompactness. The obtained results generalize and extend several ones obtained earlier in many papers and monographs. An example which shows the applicability of our results is also included.

scholarly journals The solvability of a class of system of nonlinear integral equations via measure of noncompactness

Filomat ◽  
2018 ◽  
Vol 32 (17) ◽  
pp. 5969-5991 ◽  
Author(s):  
Habibollah Nasiri ◽  
Jamal Roshan
Keyword(s):  
Fixed Points ◽  
Integral Equations ◽  
Measure Of Noncompactness ◽  
Existence Of Solutions ◽  
General System ◽  
Functional Integral ◽  
Nonlinear Integral Equations ◽  
Nonlinear Functional ◽  
Functional Integral Equations ◽  
Class Of Functions

We propose a new notion of contraction mappings for two class of functions involving measure of noncompactness in Banach space. In this regard we present some theory and results on the existence of tripled fixed points and some basic Darbo?s type fixed points for a class of operators in Banach spaces. Also as an application we discuss the existence of solutions for a general system of nonlinear functional integral equations which satisfy in new certain conditions. Further we give an example to verify the effectiveness and applicability of our results.

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