Search results for: Jamal-Eddine Lazreg

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On implicit fractional q‐difference equations: Analysis and stability

Nadjet Laledj, Abdelkrim Salim, Jamal Eddine Lazreg, Saïd Abbas, more

Mathematical Methods in the Applied Sciences > 45 > 17 > 10775 - 10797

This paper deals with some existence and Ulam stability results for some classes of implicit fractional

q

‐difference equations with and without random effects in Banach spaces and Banach algebras. Our results are provided by applying the fixed point theory (Itoh's random fixed point theorem, the nonlinear alternative of Schaefer's type proved by Dhage, and an other Dhage's random fixed point...

article

A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability

Saïd Abbas, Mouffak Benchohra, Jamal-Eddine Lazreg, Yong Zhou

Chaos, Solitons & Fractals > 2017 > 102 > C > 47-71

In the present survey paper, we prove some results concerning the existence of solutions and weak solutions for some classes of Hadamard and Hilfer fractional differential equations. Some attractivity and Ulam stability results are presented. Our results are provided by applying the fixed point theory, and the technique of strong and weak measures of noncompactness.

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Keywords

FIXED POINT (2)
ULAM STABILITY (2)
ATTRACTIVITY (1)
BANACH ALGEBRA (1)
EXTREMAL SOLUTION (1)
FRACTIONAL Q$$ Q $$‐DIFFERENCE EQUATION (1)
FUNCTIONAL DIFFERENTIAL EQUATION (1)
HADAMARD FRACTIONAL DERIVATIVE (1)
HILFER FRACTIONAL DERIVATIVE (1)
IMPLICIT (1)
LOWER SOLUTION (1)
MEASURE OF WEAK NONCOMPACTNESS (1)
PETTIS RIEMANN–LIOUVILLE INTEGRAL OF FRACTIONAL ORDER (1)
RANDOM SOLUTION (1)
SOLUTION (1)
UPPER SOLUTION (1)
WEAK SOLUTION (1)
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Search results for: Jamal-Eddine Lazreg

On implicit fractional q‐difference equations: Analysis and stability

A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability

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INFONA - science communication portal

Search results for: Jamal-Eddine Lazreg

On implicit fractional q‐difference equations: Analysis and stability

A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability

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