Generalized Fox Integral Equations Solved by Functional Equations

1984 ◽  
pp. 421-429
Author(s):  
D. Przeworska-Rolewicz
Keyword(s):  
Integral Equations ◽  
Functional Equations

Volterra Integral Equations and Functional Equations

1991 ◽  
Vol 75 (471) ◽  
pp. 132
Author(s):  
J. B. Reade ◽  
G. Grippenberg ◽  
S.-O. Londen ◽  
O. Staffans
Keyword(s):  
Integral Equations ◽  
Functional Equations ◽  
Volterra Integral Equations

Principles and the Uncertainty Principles of the Probabilistic Strength of Materials and Their Applications to Seismology

1993 ◽  
Vol 46 (11S) ◽  
pp. S327-S333 ◽  
Author(s):  
P. Kittl ◽  
G. Di´az ◽  
V. Marti´nez
Keyword(s):  
Integral Equations ◽  
Functional Equations ◽  
Risk Function ◽  
Cumulative Probability ◽  
Uncertainty Principles ◽  
Strength Of Materials ◽  
Probability Of Occurrence ◽  
Local Probability ◽  
Probability Of Fracture

The principles of Fracture-Statistics Mechanics are presented using two functional equations, namely one for the cumulative probability of fracture, and another for the local probability of fracture. These two functional equations are independent and they become compatible only when the volume considered is very small. The determination of the specific-risk function can be made by means of integral equations, without having to specify the analytical expression for this function. This two principles give two principles of uncertainty. Some applications to seismology are given where it is shown that the possibilities of predicting the instant of occurrence and the magnitude of an earthquake are null. Only the probability of occurrence of an earthquake of a given magnitude in a given place can be known. The instant of occurrence, the magnitude and the location are aleatory.

Tripled fixed point results via a measure of noncompactness with applications

2019 ◽  
pp. 2150008
Author(s):  
Hemant Kumar Nashine ◽  
Reza Arab ◽  
Rabha W. Ibrahim
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Functional Equations ◽  
Fractional Integral ◽  
Measure Of Noncompactness ◽  
Subjective Measure ◽  
Nonlinear Integral Equations ◽  
Tripled Fixed Point ◽  
Local Fractional Integral

In this paper, we create tripled fixed point outcomes via a subjective measure of noncompactness in the sense of Banas and Goebel. Furthermore, we introduce some applications of the measure of noncompactness notion to functional equations including nonlinear integral equations as well as local fractional integral equations.

scholarly journals Fredholm and Volterra nonlinear possibilistic integral equations

2021 ◽  
Vol 66 (1) ◽  
pp. 105-113
Author(s):  
Sorin G. Gal ◽  
Ionut T. Iancu
Keyword(s):  
Integral Equations ◽  
Functional Equations ◽  
Lebesgue Integral ◽  
Nonlinear Functional ◽  
Classical Integral

Fredholm and Volterra nonlinear possibilistic integral equations In this paper we study the nonlinear functional equations obtained from the classical integral equations of Fredholm and of Volterra of second kind, by replacing there the linear Lebesgue integral with the nonlinear possibilistic integral.

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