Search results for: Nadjet Laledj

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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

Existence and Ulam stability for implicit fractional q-difference equations

Saïd Abbas, Mouffak Benchohra, Nadjet Laledj, Yong Zhou

Advances in Difference Equations > 2019 > 2019 > 1 > 1-12

This paper deals with some existence, uniqueness and Ulam–Hyers–Rassias stability results for a class of implicit fractional q-difference equations. Some applications are made of some fixed point theorems in Banach spaces for the existence and uniqueness of solutions, next we prove that our problem is generalized Ulam–Hyers–Rassias stable. Two illustrative examples are given in the last section.

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Keywords

FIXED POINT (2)
IMPLICIT (2)
BANACH ALGEBRA (1)
EXTREMAL SOLUTION (1)
FRACTIONAL Q$$ Q $$‐DIFFERENCE EQUATION (1)
FRACTIONAL Q-DIFFERENCE EQUATION (1)
LOWER SOLUTION (1)
RANDOM SOLUTION (1)
ULAM STABILITY (1)
ULAM–HYERS–RASSIAS STABILITY (1)
UPPER SOLUTION (1)
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Search results for: Nadjet Laledj

On implicit fractional q‐difference equations: Analysis and stability

Existence and Ulam stability for implicit fractional q-difference equations

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INFONA - science communication portal

Search results for: Nadjet Laledj

On implicit fractional q‐difference equations: Analysis and stability

Existence and Ulam stability for implicit fractional q-difference equations

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